- Numbers
- What does the number stand for?
- Nearest number
- Which digit is in the place?
- Round off to the nearest number
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- Find the fraction nearest to 1
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- Find the largest or smallest fraction
- Fraction to decimal
- Convert decimal to a mixed fraction.
- Fraction - Addition
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- Fraction - Multiply
- Fraction - Divide
- List all the common factors of two integers
- Chicken and Rabbit problem
- Assumption Method

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- P5 Maths
- P4 Maths

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- Numbers

There are a total of 94 Gooses and Donkeys on a farm. Given that the total number of legs on the farm is 200, find the number of Donkeys

1

12

4

6

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
94\times2=188
\end{array}
legs.

However, there are actually 200 legs.

Therefore, there are
\begin{array}{rcl}
200-188=12
\end{array}
extra legs.

If we replace one Goose by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
12\div2=6.
\end{array}
The number of Gooses is
\begin{array}{rcl}
94-6=88.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
94\times4=376
\end{array}
legs.

However, there are actually only 200 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
376-200=176
\end{array}
legs.

If we replace one Donkey by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
176\div2=88.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
94-88=6.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
94\times2=188
\end{array}
legs.

However, there are actually 200 legs.

Therefore, there are
\begin{array}{rcl}
200-188=12
\end{array}
extra legs.

If we replace one Goose by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
12\div2=6.
\end{array}
The number of Gooses is
\begin{array}{rcl}
94-6=88.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
94\times4=376
\end{array}
legs.

However, there are actually only 200 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
376-200=176
\end{array}
legs.

If we replace one Donkey by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
176\div2=88.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
94-88=6.
\end{array}

There are a total of 28 Ducks and Pigs on a farm. Given that the total number of legs on the farm is 88, find the number of Pigs

16

21

20

13

Sorry. Please check the correct answer below.

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
28\times2=56
\end{array}
legs.

However, there are actually 88 legs.

Therefore, there are
\begin{array}{rcl}
88-56=32
\end{array}
extra legs.

If we replace one Duck by one Pig, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Pigs is
\begin{array}{rcl}
32\div2=16.
\end{array}
The number of Ducks is
\begin{array}{rcl}
28-16=12.
\end{array}__Method 2: Method of Assumption__

Assume all were Pigs, there would be only
\begin{array}{rcl}
28\times4=112
\end{array}
legs.

However, there are actually only 88 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
112-88=24
\end{array}
legs.

If we replace one Pig by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Pigs is
\begin{array}{rcl}
28-12=16.
\end{array}

There are a total of 42 Chickens and Horses on a farm. Given that the total number of legs on the farm is 104, find the number of Horses

13

15

11

10

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
42\times2=84
\end{array}
legs.

However, there are actually 104 legs.

Therefore, there are
\begin{array}{rcl}
104-84=20
\end{array}
extra legs.

If we replace one Chicken by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
20\div2=10.
\end{array}
The number of Chickens is
\begin{array}{rcl}
42-10=32.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
42\times4=168
\end{array}
legs.

However, there are actually only 104 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
168-104=64
\end{array}
legs.

If we replace one Horse by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
64\div2=32.
\end{array}
The number of Horses is
\begin{array}{rcl}
42-32=10.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
42\times2=84
\end{array}
legs.

However, there are actually 104 legs.

Therefore, there are
\begin{array}{rcl}
104-84=20
\end{array}
extra legs.

If we replace one Chicken by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
20\div2=10.
\end{array}
The number of Chickens is
\begin{array}{rcl}
42-10=32.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
42\times4=168
\end{array}
legs.

However, there are actually only 104 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
168-104=64
\end{array}
legs.

If we replace one Horse by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
64\div2=32.
\end{array}
The number of Horses is
\begin{array}{rcl}
42-32=10.
\end{array}

There are a total of 86 Gooses and Horses on a farm. Given that the total number of legs on the farm is 196, find the number of Horses

13

7

12

16

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
86\times2=172
\end{array}
legs.

However, there are actually 196 legs.

Therefore, there are
\begin{array}{rcl}
196-172=24
\end{array}
extra legs.

If we replace one Goose by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Gooses is
\begin{array}{rcl}
86-12=74.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
86\times4=344
\end{array}
legs.

However, there are actually only 196 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
344-196=148
\end{array}
legs.

If we replace one Horse by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
148\div2=74.
\end{array}
The number of Horses is
\begin{array}{rcl}
86-74=12.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
86\times2=172
\end{array}
legs.

However, there are actually 196 legs.

Therefore, there are
\begin{array}{rcl}
196-172=24
\end{array}
extra legs.

If we replace one Goose by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Gooses is
\begin{array}{rcl}
86-12=74.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
86\times4=344
\end{array}
legs.

However, there are actually only 196 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
344-196=148
\end{array}
legs.

If we replace one Horse by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
148\div2=74.
\end{array}
The number of Horses is
\begin{array}{rcl}
86-74=12.
\end{array}

There are a total of 38 Chickens and Rabbits on a farm. Given that the total number of legs on the farm is 128, find the number of Chickens

12

15

16

10

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
38\times2=76
\end{array}
legs.

However, there are actually 128 legs.

Therefore, there are
\begin{array}{rcl}
128-76=52
\end{array}
extra legs.

If we replace one Chicken by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
52\div2=26.
\end{array}
The number of Chickens is
\begin{array}{rcl}
38-26=12.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
38\times4=152
\end{array}
legs.

However, there are actually only 128 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
152-128=24
\end{array}
legs.

If we replace one Rabbit by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
38-12=26.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
38\times2=76
\end{array}
legs.

However, there are actually 128 legs.

Therefore, there are
\begin{array}{rcl}
128-76=52
\end{array}
extra legs.

If we replace one Chicken by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
52\div2=26.
\end{array}
The number of Chickens is
\begin{array}{rcl}
38-26=12.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
38\times4=152
\end{array}
legs.

However, there are actually only 128 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
152-128=24
\end{array}
legs.

If we replace one Rabbit by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
38-12=26.
\end{array}

There are a total of 45 Chickens and Rabbits on a farm. Given that the total number of legs on the farm is 92, find the number of Rabbits

9

1

-4

-2

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
45\times2=90
\end{array}
legs.

However, there are actually 92 legs.

Therefore, there are
\begin{array}{rcl}
92-90=2
\end{array}
extra legs.

If we replace one Chicken by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
2\div2=1.
\end{array}
The number of Chickens is
\begin{array}{rcl}
45-1=44.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
45\times4=180
\end{array}
legs.

However, there are actually only 92 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
180-92=88
\end{array}
legs.

If we replace one Rabbit by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
88\div2=44.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
45-44=1.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
45\times2=90
\end{array}
legs.

However, there are actually 92 legs.

Therefore, there are
\begin{array}{rcl}
92-90=2
\end{array}
extra legs.

If we replace one Chicken by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
2\div2=1.
\end{array}
The number of Chickens is
\begin{array}{rcl}
45-1=44.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
45\times4=180
\end{array}
legs.

However, there are actually only 92 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
180-92=88
\end{array}
legs.

If we replace one Rabbit by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
88\div2=44.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
45-44=1.
\end{array}

There are a total of 82 Gooses and Cows on a farm. Given that the total number of legs on the farm is 216, find the number of Cows

25

23

26

30

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
82\times2=164
\end{array}
legs.

However, there are actually 216 legs.

Therefore, there are
\begin{array}{rcl}
216-164=52
\end{array}
extra legs.

If we replace one Goose by one Cow, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Cows is
\begin{array}{rcl}
52\div2=26.
\end{array}
The number of Gooses is
\begin{array}{rcl}
82-26=56.
\end{array}__Method 2: Method of Assumption__

Assume all were Cows, there would be only
\begin{array}{rcl}
82\times4=328
\end{array}
legs.

However, there are actually only 216 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
328-216=112
\end{array}
legs.

If we replace one Cow by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
112\div2=56.
\end{array}
The number of Cows is
\begin{array}{rcl}
82-56=26.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
82\times2=164
\end{array}
legs.

However, there are actually 216 legs.

Therefore, there are
\begin{array}{rcl}
216-164=52
\end{array}
extra legs.

If we replace one Goose by one Cow, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Cows is
\begin{array}{rcl}
52\div2=26.
\end{array}
The number of Gooses is
\begin{array}{rcl}
82-26=56.
\end{array}__Method 2: Method of Assumption__

Assume all were Cows, there would be only
\begin{array}{rcl}
82\times4=328
\end{array}
legs.

However, there are actually only 216 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
328-216=112
\end{array}
legs.

If we replace one Cow by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
112\div2=56.
\end{array}
The number of Cows is
\begin{array}{rcl}
82-56=26.
\end{array}

There are a total of 20 Gooses and Goats on a farm. Given that the total number of legs on the farm is 64, find the number of Gooses

8

7

5

10

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
20\times2=40
\end{array}
legs.

However, there are actually 64 legs.

Therefore, there are
\begin{array}{rcl}
64-40=24
\end{array}
extra legs.

If we replace one Goose by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Gooses is
\begin{array}{rcl}
20-12=8.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
20\times4=80
\end{array}
legs.

However, there are actually only 64 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
80-64=16
\end{array}
legs.

If we replace one Goat by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
16\div2=8.
\end{array}
The number of Goats is
\begin{array}{rcl}
20-8=12.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
20\times2=40
\end{array}
legs.

However, there are actually 64 legs.

Therefore, there are
\begin{array}{rcl}
64-40=24
\end{array}
extra legs.

If we replace one Goose by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Gooses is
\begin{array}{rcl}
20-12=8.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
20\times4=80
\end{array}
legs.

However, there are actually only 64 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
80-64=16
\end{array}
legs.

If we replace one Goat by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
16\div2=8.
\end{array}
The number of Goats is
\begin{array}{rcl}
20-8=12.
\end{array}

There are a total of 95 Chickens and Goats on a farm. Given that the total number of legs on the farm is 244, find the number of Goats

27

32

22

30

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
95\times2=190
\end{array}
legs.

However, there are actually 244 legs.

Therefore, there are
\begin{array}{rcl}
244-190=54
\end{array}
extra legs.

If we replace one Chicken by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
54\div2=27.
\end{array}
The number of Chickens is
\begin{array}{rcl}
95-27=68.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
95\times4=380
\end{array}
legs.

However, there are actually only 244 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
380-244=136
\end{array}
legs.

If we replace one Goat by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
136\div2=68.
\end{array}
The number of Goats is
\begin{array}{rcl}
95-68=27.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
95\times2=190
\end{array}
legs.

However, there are actually 244 legs.

Therefore, there are
\begin{array}{rcl}
244-190=54
\end{array}
extra legs.

If we replace one Chicken by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
54\div2=27.
\end{array}
The number of Chickens is
\begin{array}{rcl}
95-27=68.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
95\times4=380
\end{array}
legs.

However, there are actually only 244 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
380-244=136
\end{array}
legs.

If we replace one Goat by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
136\div2=68.
\end{array}
The number of Goats is
\begin{array}{rcl}
95-68=27.
\end{array}

There are a total of 37 Ducks and Rabbits on a farm. Given that the total number of legs on the farm is 132, find the number of Rabbits

29

28

35

32

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
37\times2=74
\end{array}
legs.

However, there are actually 132 legs.

Therefore, there are
\begin{array}{rcl}
132-74=58
\end{array}
extra legs.

If we replace one Duck by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
58\div2=29.
\end{array}
The number of Ducks is
\begin{array}{rcl}
37-29=8.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
37\times4=148
\end{array}
legs.

However, there are actually only 132 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
148-132=16
\end{array}
legs.

If we replace one Rabbit by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
16\div2=8.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
37-8=29.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
37\times2=74
\end{array}
legs.

However, there are actually 132 legs.

Therefore, there are
\begin{array}{rcl}
132-74=58
\end{array}
extra legs.

If we replace one Duck by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
58\div2=29.
\end{array}
The number of Ducks is
\begin{array}{rcl}
37-29=8.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
37\times4=148
\end{array}
legs.

However, there are actually only 132 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
148-132=16
\end{array}
legs.

If we replace one Rabbit by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
16\div2=8.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
37-8=29.
\end{array}

There are a total of 46 Ducks and Horses on a farm. Given that the total number of legs on the farm is 116, find the number of Horses

15

12

9

20

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
46\times2=92
\end{array}
legs.

However, there are actually 116 legs.

Therefore, there are
\begin{array}{rcl}
116-92=24
\end{array}
extra legs.

If we replace one Duck by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Ducks is
\begin{array}{rcl}
46-12=34.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
46\times4=184
\end{array}
legs.

However, there are actually only 116 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
184-116=68
\end{array}
legs.

If we replace one Horse by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
68\div2=34.
\end{array}
The number of Horses is
\begin{array}{rcl}
46-34=12.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
46\times2=92
\end{array}
legs.

However, there are actually 116 legs.

Therefore, there are
\begin{array}{rcl}
116-92=24
\end{array}
extra legs.

If we replace one Duck by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Ducks is
\begin{array}{rcl}
46-12=34.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
46\times4=184
\end{array}
legs.

However, there are actually only 116 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
184-116=68
\end{array}
legs.

If we replace one Horse by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
68\div2=34.
\end{array}
The number of Horses is
\begin{array}{rcl}
46-34=12.
\end{array}

There are a total of 123 Gooses and Donkeys on a farm. Given that the total number of legs on the farm is 264, find the number of Gooses

113

114

118

122

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
123\times2=246
\end{array}
legs.

However, there are actually 264 legs.

Therefore, there are
\begin{array}{rcl}
264-246=18
\end{array}
extra legs.

If we replace one Goose by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
18\div2=9.
\end{array}
The number of Gooses is
\begin{array}{rcl}
123-9=114.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
123\times4=492
\end{array}
legs.

However, there are actually only 264 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
492-264=228
\end{array}
legs.

If we replace one Donkey by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
228\div2=114.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
123-114=9.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
123\times2=246
\end{array}
legs.

However, there are actually 264 legs.

Therefore, there are
\begin{array}{rcl}
264-246=18
\end{array}
extra legs.

If we replace one Goose by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
18\div2=9.
\end{array}
The number of Gooses is
\begin{array}{rcl}
123-9=114.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
123\times4=492
\end{array}
legs.

However, there are actually only 264 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
492-264=228
\end{array}
legs.

If we replace one Donkey by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
228\div2=114.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
123-114=9.
\end{array}

There are a total of 27 Chickens and Rabbits on a farm. Given that the total number of legs on the farm is 84, find the number of Rabbits

15

13

19

20

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
27\times2=54
\end{array}
legs.

However, there are actually 84 legs.

Therefore, there are
\begin{array}{rcl}
84-54=30
\end{array}
extra legs.

If we replace one Chicken by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
30\div2=15.
\end{array}
The number of Chickens is
\begin{array}{rcl}
27-15=12.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
27\times4=108
\end{array}
legs.

However, there are actually only 84 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
108-84=24
\end{array}
legs.

If we replace one Rabbit by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
27-12=15.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
27\times2=54
\end{array}
legs.

However, there are actually 84 legs.

Therefore, there are
\begin{array}{rcl}
84-54=30
\end{array}
extra legs.

If we replace one Chicken by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
30\div2=15.
\end{array}
The number of Chickens is
\begin{array}{rcl}
27-15=12.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
27\times4=108
\end{array}
legs.

However, there are actually only 84 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
108-84=24
\end{array}
legs.

If we replace one Rabbit by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
27-12=15.
\end{array}

There are a total of 69 Ducks and Donkeys on a farm. Given that the total number of legs on the farm is 152, find the number of Ducks

70

62

65

60

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
69\times2=138
\end{array}
legs.

However, there are actually 152 legs.

Therefore, there are
\begin{array}{rcl}
152-138=14
\end{array}
extra legs.

If we replace one Duck by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
14\div2=7.
\end{array}
The number of Ducks is
\begin{array}{rcl}
69-7=62.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
69\times4=276
\end{array}
legs.

However, there are actually only 152 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
276-152=124
\end{array}
legs.

If we replace one Donkey by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
124\div2=62.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
69-62=7.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
69\times2=138
\end{array}
legs.

However, there are actually 152 legs.

Therefore, there are
\begin{array}{rcl}
152-138=14
\end{array}
extra legs.

If we replace one Duck by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
14\div2=7.
\end{array}
The number of Ducks is
\begin{array}{rcl}
69-7=62.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
69\times4=276
\end{array}
legs.

However, there are actually only 152 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
276-152=124
\end{array}
legs.

If we replace one Donkey by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
124\div2=62.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
69-62=7.
\end{array}

There are a total of 51 Chickens and Cows on a farm. Given that the total number of legs on the farm is 108, find the number of Chickens

48

53

49

44

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
51\times2=102
\end{array}
legs.

However, there are actually 108 legs.

Therefore, there are
\begin{array}{rcl}
108-102=6
\end{array}
extra legs.

If we replace one Chicken by one Cow, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Cows is
\begin{array}{rcl}
6\div2=3.
\end{array}
The number of Chickens is
\begin{array}{rcl}
51-3=48.
\end{array}__Method 2: Method of Assumption__

Assume all were Cows, there would be only
\begin{array}{rcl}
51\times4=204
\end{array}
legs.

However, there are actually only 108 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
204-108=96
\end{array}
legs.

If we replace one Cow by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
96\div2=48.
\end{array}
The number of Cows is
\begin{array}{rcl}
51-48=3.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
51\times2=102
\end{array}
legs.

However, there are actually 108 legs.

Therefore, there are
\begin{array}{rcl}
108-102=6
\end{array}
extra legs.

If we replace one Chicken by one Cow, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Cows is
\begin{array}{rcl}
6\div2=3.
\end{array}
The number of Chickens is
\begin{array}{rcl}
51-3=48.
\end{array}__Method 2: Method of Assumption__

Assume all were Cows, there would be only
\begin{array}{rcl}
51\times4=204
\end{array}
legs.

However, there are actually only 108 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
204-108=96
\end{array}
legs.

If we replace one Cow by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
96\div2=48.
\end{array}
The number of Cows is
\begin{array}{rcl}
51-48=3.
\end{array}

There are a total of 118 Chickens and Cows on a farm. Given that the total number of legs on the farm is 276, find the number of Cows

24

26

20

15

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
118\times2=236
\end{array}
legs.

However, there are actually 276 legs.

Therefore, there are
\begin{array}{rcl}
276-236=40
\end{array}
extra legs.

If we replace one Chicken by one Cow, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Cows is
\begin{array}{rcl}
40\div2=20.
\end{array}
The number of Chickens is
\begin{array}{rcl}
118-20=98.
\end{array}__Method 2: Method of Assumption__

Assume all were Cows, there would be only
\begin{array}{rcl}
118\times4=472
\end{array}
legs.

However, there are actually only 276 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
472-276=196
\end{array}
legs.

If we replace one Cow by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
196\div2=98.
\end{array}
The number of Cows is
\begin{array}{rcl}
118-98=20.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
118\times2=236
\end{array}
legs.

However, there are actually 276 legs.

Therefore, there are
\begin{array}{rcl}
276-236=40
\end{array}
extra legs.

If we replace one Chicken by one Cow, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Cows is
\begin{array}{rcl}
40\div2=20.
\end{array}
The number of Chickens is
\begin{array}{rcl}
118-20=98.
\end{array}__Method 2: Method of Assumption__

Assume all were Cows, there would be only
\begin{array}{rcl}
118\times4=472
\end{array}
legs.

However, there are actually only 276 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
472-276=196
\end{array}
legs.

If we replace one Cow by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
196\div2=98.
\end{array}
The number of Cows is
\begin{array}{rcl}
118-98=20.
\end{array}

There are a total of 88 Chickens and Goats on a farm. Given that the total number of legs on the farm is 184, find the number of Chickens

81

80

84

89

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
88\times2=176
\end{array}
legs.

However, there are actually 184 legs.

Therefore, there are
\begin{array}{rcl}
184-176=8
\end{array}
extra legs.

If we replace one Chicken by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
8\div2=4.
\end{array}
The number of Chickens is
\begin{array}{rcl}
88-4=84.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
88\times4=352
\end{array}
legs.

However, there are actually only 184 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
352-184=168
\end{array}
legs.

If we replace one Goat by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
168\div2=84.
\end{array}
The number of Goats is
\begin{array}{rcl}
88-84=4.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
88\times2=176
\end{array}
legs.

However, there are actually 184 legs.

Therefore, there are
\begin{array}{rcl}
184-176=8
\end{array}
extra legs.

If we replace one Chicken by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
8\div2=4.
\end{array}
The number of Chickens is
\begin{array}{rcl}
88-4=84.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
88\times4=352
\end{array}
legs.

However, there are actually only 184 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
352-184=168
\end{array}
legs.

If we replace one Goat by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
168\div2=84.
\end{array}
The number of Goats is
\begin{array}{rcl}
88-84=4.
\end{array}

There are a total of 36 Gooses and Donkeys on a farm. Given that the total number of legs on the farm is 76, find the number of Gooses

36

34

37

39

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
36\times2=72
\end{array}
legs.

However, there are actually 76 legs.

Therefore, there are
\begin{array}{rcl}
76-72=4
\end{array}
extra legs.

If we replace one Goose by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
4\div2=2.
\end{array}
The number of Gooses is
\begin{array}{rcl}
36-2=34.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
36\times4=144
\end{array}
legs.

However, there are actually only 76 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
144-76=68
\end{array}
legs.

If we replace one Donkey by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
68\div2=34.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
36-34=2.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
36\times2=72
\end{array}
legs.

However, there are actually 76 legs.

Therefore, there are
\begin{array}{rcl}
76-72=4
\end{array}
extra legs.

If we replace one Goose by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
4\div2=2.
\end{array}
The number of Gooses is
\begin{array}{rcl}
36-2=34.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
36\times4=144
\end{array}
legs.

However, there are actually only 76 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
144-76=68
\end{array}
legs.

If we replace one Donkey by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
68\div2=34.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
36-34=2.
\end{array}

There are a total of 57 Ducks and Horses on a farm. Given that the total number of legs on the farm is 120, find the number of Horses

5

6

9

3

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
57\times2=114
\end{array}
legs.

However, there are actually 120 legs.

Therefore, there are
\begin{array}{rcl}
120-114=6
\end{array}
extra legs.

If we replace one Duck by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
6\div2=3.
\end{array}
The number of Ducks is
\begin{array}{rcl}
57-3=54.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
57\times4=228
\end{array}
legs.

However, there are actually only 120 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
228-120=108
\end{array}
legs.

If we replace one Horse by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
108\div2=54.
\end{array}
The number of Horses is
\begin{array}{rcl}
57-54=3.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
57\times2=114
\end{array}
legs.

However, there are actually 120 legs.

Therefore, there are
\begin{array}{rcl}
120-114=6
\end{array}
extra legs.

If we replace one Duck by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
6\div2=3.
\end{array}
The number of Ducks is
\begin{array}{rcl}
57-3=54.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
57\times4=228
\end{array}
legs.

However, there are actually only 120 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
228-120=108
\end{array}
legs.

If we replace one Horse by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
108\div2=54.
\end{array}
The number of Horses is
\begin{array}{rcl}
57-54=3.
\end{array}

There are a total of 119 Ducks and Donkeys on a farm. Given that the total number of legs on the farm is 272, find the number of Donkeys

25

17

12

16

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
119\times2=238
\end{array}
legs.

However, there are actually 272 legs.

Therefore, there are
\begin{array}{rcl}
272-238=34
\end{array}
extra legs.

If we replace one Duck by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
34\div2=17.
\end{array}
The number of Ducks is
\begin{array}{rcl}
119-17=102.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
119\times4=476
\end{array}
legs.

However, there are actually only 272 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
476-272=204
\end{array}
legs.

If we replace one Donkey by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
204\div2=102.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
119-102=17.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
119\times2=238
\end{array}
legs.

However, there are actually 272 legs.

Therefore, there are
\begin{array}{rcl}
272-238=34
\end{array}
extra legs.

If we replace one Duck by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
34\div2=17.
\end{array}
The number of Ducks is
\begin{array}{rcl}
119-17=102.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
119\times4=476
\end{array}
legs.

However, there are actually only 272 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
476-272=204
\end{array}
legs.

If we replace one Donkey by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
204\div2=102.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
119-102=17.
\end{array}

There are a total of 84 Chickens and Pigs on a farm. Given that the total number of legs on the farm is 240, find the number of Chickens

49

53

56

48

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
84\times2=168
\end{array}
legs.

However, there are actually 240 legs.

Therefore, there are
\begin{array}{rcl}
240-168=72
\end{array}
extra legs.

If we replace one Chicken by one Pig, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Pigs is
\begin{array}{rcl}
72\div2=36.
\end{array}
The number of Chickens is
\begin{array}{rcl}
84-36=48.
\end{array}__Method 2: Method of Assumption__

Assume all were Pigs, there would be only
\begin{array}{rcl}
84\times4=336
\end{array}
legs.

However, there are actually only 240 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
336-240=96
\end{array}
legs.

If we replace one Pig by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
96\div2=48.
\end{array}
The number of Pigs is
\begin{array}{rcl}
84-48=36.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
84\times2=168
\end{array}
legs.

However, there are actually 240 legs.

Therefore, there are
\begin{array}{rcl}
240-168=72
\end{array}
extra legs.

If we replace one Chicken by one Pig, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Pigs is
\begin{array}{rcl}
72\div2=36.
\end{array}
The number of Chickens is
\begin{array}{rcl}
84-36=48.
\end{array}__Method 2: Method of Assumption__

Assume all were Pigs, there would be only
\begin{array}{rcl}
84\times4=336
\end{array}
legs.

However, there are actually only 240 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
336-240=96
\end{array}
legs.

If we replace one Pig by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
96\div2=48.
\end{array}
The number of Pigs is
\begin{array}{rcl}
84-48=36.
\end{array}

There are a total of 48 Chickens and Dogs on a farm. Given that the total number of legs on the farm is 168, find the number of Dogs

41

36

37

34

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
48\times2=96
\end{array}
legs.

However, there are actually 168 legs.

Therefore, there are
\begin{array}{rcl}
168-96=72
\end{array}
extra legs.

If we replace one Chicken by one Dog, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Dogs is
\begin{array}{rcl}
72\div2=36.
\end{array}
The number of Chickens is
\begin{array}{rcl}
48-36=12.
\end{array}__Method 2: Method of Assumption__

Assume all were Dogs, there would be only
\begin{array}{rcl}
48\times4=192
\end{array}
legs.

However, there are actually only 168 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
192-168=24
\end{array}
legs.

If we replace one Dog by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Dogs is
\begin{array}{rcl}
48-12=36.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
48\times2=96
\end{array}
legs.

However, there are actually 168 legs.

Therefore, there are
\begin{array}{rcl}
168-96=72
\end{array}
extra legs.

If we replace one Chicken by one Dog, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Dogs is
\begin{array}{rcl}
72\div2=36.
\end{array}
The number of Chickens is
\begin{array}{rcl}
48-36=12.
\end{array}__Method 2: Method of Assumption__

Assume all were Dogs, there would be only
\begin{array}{rcl}
48\times4=192
\end{array}
legs.

However, there are actually only 168 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
192-168=24
\end{array}
legs.

If we replace one Dog by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Dogs is
\begin{array}{rcl}
48-12=36.
\end{array}

There are a total of 99 Chickens and Horses on a farm. Given that the total number of legs on the farm is 220, find the number of Chickens

91

96

88

85

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
99\times2=198
\end{array}
legs.

However, there are actually 220 legs.

Therefore, there are
\begin{array}{rcl}
220-198=22
\end{array}
extra legs.

If we replace one Chicken by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
22\div2=11.
\end{array}
The number of Chickens is
\begin{array}{rcl}
99-11=88.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
99\times4=396
\end{array}
legs.

However, there are actually only 220 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
396-220=176
\end{array}
legs.

If we replace one Horse by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
176\div2=88.
\end{array}
The number of Horses is
\begin{array}{rcl}
99-88=11.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
99\times2=198
\end{array}
legs.

However, there are actually 220 legs.

Therefore, there are
\begin{array}{rcl}
220-198=22
\end{array}
extra legs.

If we replace one Chicken by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
22\div2=11.
\end{array}
The number of Chickens is
\begin{array}{rcl}
99-11=88.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
99\times4=396
\end{array}
legs.

However, there are actually only 220 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
396-220=176
\end{array}
legs.

If we replace one Horse by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
176\div2=88.
\end{array}
The number of Horses is
\begin{array}{rcl}
99-88=11.
\end{array}

There are a total of 61 Gooses and Goats on a farm. Given that the total number of legs on the farm is 124, find the number of Gooses

66

57

60

56

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
61\times2=122
\end{array}
legs.

However, there are actually 124 legs.

Therefore, there are
\begin{array}{rcl}
124-122=2
\end{array}
extra legs.

If we replace one Goose by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
2\div2=1.
\end{array}
The number of Gooses is
\begin{array}{rcl}
61-1=60.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
61\times4=244
\end{array}
legs.

However, there are actually only 124 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
244-124=120
\end{array}
legs.

If we replace one Goat by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
120\div2=60.
\end{array}
The number of Goats is
\begin{array}{rcl}
61-60=1.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
61\times2=122
\end{array}
legs.

However, there are actually 124 legs.

Therefore, there are
\begin{array}{rcl}
124-122=2
\end{array}
extra legs.

If we replace one Goose by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
2\div2=1.
\end{array}
The number of Gooses is
\begin{array}{rcl}
61-1=60.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
61\times4=244
\end{array}
legs.

However, there are actually only 124 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
244-124=120
\end{array}
legs.

If we replace one Goat by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
120\div2=60.
\end{array}
The number of Goats is
\begin{array}{rcl}
61-60=1.
\end{array}

There are a total of 28 Chickens and Goats on a farm. Given that the total number of legs on the farm is 80, find the number of Chickens

12

15

20

16

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
28\times2=56
\end{array}
legs.

However, there are actually 80 legs.

Therefore, there are
\begin{array}{rcl}
80-56=24
\end{array}
extra legs.

If we replace one Chicken by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Chickens is
\begin{array}{rcl}
28-12=16.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
28\times4=112
\end{array}
legs.

However, there are actually only 80 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
112-80=32
\end{array}
legs.

If we replace one Goat by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
32\div2=16.
\end{array}
The number of Goats is
\begin{array}{rcl}
28-16=12.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
28\times2=56
\end{array}
legs.

However, there are actually 80 legs.

Therefore, there are
\begin{array}{rcl}
80-56=24
\end{array}
extra legs.

If we replace one Chicken by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
24\div2=12.
\end{array}
The number of Chickens is
\begin{array}{rcl}
28-12=16.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
28\times4=112
\end{array}
legs.

However, there are actually only 80 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
112-80=32
\end{array}
legs.

If we replace one Goat by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
32\div2=16.
\end{array}
The number of Goats is
\begin{array}{rcl}
28-16=12.
\end{array}

There are a total of 74 Chickens and Goats on a farm. Given that the total number of legs on the farm is 208, find the number of Chickens

44

43

50

40

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
74\times2=148
\end{array}
legs.

However, there are actually 208 legs.

Therefore, there are
\begin{array}{rcl}
208-148=60
\end{array}
extra legs.

If we replace one Chicken by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
60\div2=30.
\end{array}
The number of Chickens is
\begin{array}{rcl}
74-30=44.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
74\times4=296
\end{array}
legs.

However, there are actually only 208 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
296-208=88
\end{array}
legs.

If we replace one Goat by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
88\div2=44.
\end{array}
The number of Goats is
\begin{array}{rcl}
74-44=30.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
74\times2=148
\end{array}
legs.

However, there are actually 208 legs.

Therefore, there are
\begin{array}{rcl}
208-148=60
\end{array}
extra legs.

If we replace one Chicken by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
60\div2=30.
\end{array}
The number of Chickens is
\begin{array}{rcl}
74-30=44.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
74\times4=296
\end{array}
legs.

However, there are actually only 208 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
296-208=88
\end{array}
legs.

If we replace one Goat by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
88\div2=44.
\end{array}
The number of Goats is
\begin{array}{rcl}
74-44=30.
\end{array}

There are a total of 76 Chickens and Donkeys on a farm. Given that the total number of legs on the farm is 164, find the number of Donkeys

5

7

6

14

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
76\times2=152
\end{array}
legs.

However, there are actually 164 legs.

Therefore, there are
\begin{array}{rcl}
164-152=12
\end{array}
extra legs.

If we replace one Chicken by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
12\div2=6.
\end{array}
The number of Chickens is
\begin{array}{rcl}
76-6=70.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
76\times4=304
\end{array}
legs.

However, there are actually only 164 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
304-164=140
\end{array}
legs.

If we replace one Donkey by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
140\div2=70.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
76-70=6.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
76\times2=152
\end{array}
legs.

However, there are actually 164 legs.

Therefore, there are
\begin{array}{rcl}
164-152=12
\end{array}
extra legs.

If we replace one Chicken by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
12\div2=6.
\end{array}
The number of Chickens is
\begin{array}{rcl}
76-6=70.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
76\times4=304
\end{array}
legs.

However, there are actually only 164 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
304-164=140
\end{array}
legs.

If we replace one Donkey by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
140\div2=70.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
76-70=6.
\end{array}

There are a total of 97 Chickens and Horses on a farm. Given that the total number of legs on the farm is 212, find the number of Chickens

93

86

88

96

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
97\times2=194
\end{array}
legs.

However, there are actually 212 legs.

Therefore, there are
\begin{array}{rcl}
212-194=18
\end{array}
extra legs.

If we replace one Chicken by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
18\div2=9.
\end{array}
The number of Chickens is
\begin{array}{rcl}
97-9=88.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
97\times4=388
\end{array}
legs.

However, there are actually only 212 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
388-212=176
\end{array}
legs.

If we replace one Horse by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
176\div2=88.
\end{array}
The number of Horses is
\begin{array}{rcl}
97-88=9.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
97\times2=194
\end{array}
legs.

However, there are actually 212 legs.

Therefore, there are
\begin{array}{rcl}
212-194=18
\end{array}
extra legs.

If we replace one Chicken by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
18\div2=9.
\end{array}
The number of Chickens is
\begin{array}{rcl}
97-9=88.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
97\times4=388
\end{array}
legs.

However, there are actually only 212 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
388-212=176
\end{array}
legs.

If we replace one Horse by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
176\div2=88.
\end{array}
The number of Horses is
\begin{array}{rcl}
97-88=9.
\end{array}

There are a total of 56 Ducks and Donkeys on a farm. Given that the total number of legs on the farm is 192, find the number of Ducks

16

18

20

15

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
56\times2=112
\end{array}
legs.

However, there are actually 192 legs.

Therefore, there are
\begin{array}{rcl}
192-112=80
\end{array}
extra legs.

If we replace one Duck by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
80\div2=40.
\end{array}
The number of Ducks is
\begin{array}{rcl}
56-40=16.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
56\times4=224
\end{array}
legs.

However, there are actually only 192 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
224-192=32
\end{array}
legs.

If we replace one Donkey by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
32\div2=16.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
56-16=40.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
56\times2=112
\end{array}
legs.

However, there are actually 192 legs.

Therefore, there are
\begin{array}{rcl}
192-112=80
\end{array}
extra legs.

If we replace one Duck by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
80\div2=40.
\end{array}
The number of Ducks is
\begin{array}{rcl}
56-40=16.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
56\times4=224
\end{array}
legs.

However, there are actually only 192 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
224-192=32
\end{array}
legs.

If we replace one Donkey by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
32\div2=16.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
56-16=40.
\end{array}

There are a total of 50 Chickens and Pigs on a farm. Given that the total number of legs on the farm is 188, find the number of Pigs

44

42

43

45

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
50\times2=100
\end{array}
legs.

However, there are actually 188 legs.

Therefore, there are
\begin{array}{rcl}
188-100=88
\end{array}
extra legs.

If we replace one Chicken by one Pig, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Pigs is
\begin{array}{rcl}
88\div2=44.
\end{array}
The number of Chickens is
\begin{array}{rcl}
50-44=6.
\end{array}__Method 2: Method of Assumption__

Assume all were Pigs, there would be only
\begin{array}{rcl}
50\times4=200
\end{array}
legs.

However, there are actually only 188 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
200-188=12
\end{array}
legs.

If we replace one Pig by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
12\div2=6.
\end{array}
The number of Pigs is
\begin{array}{rcl}
50-6=44.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
50\times2=100
\end{array}
legs.

However, there are actually 188 legs.

Therefore, there are
\begin{array}{rcl}
188-100=88
\end{array}
extra legs.

If we replace one Chicken by one Pig, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Pigs is
\begin{array}{rcl}
88\div2=44.
\end{array}
The number of Chickens is
\begin{array}{rcl}
50-44=6.
\end{array}__Method 2: Method of Assumption__

Assume all were Pigs, there would be only
\begin{array}{rcl}
50\times4=200
\end{array}
legs.

However, there are actually only 188 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
200-188=12
\end{array}
legs.

If we replace one Pig by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
12\div2=6.
\end{array}
The number of Pigs is
\begin{array}{rcl}
50-6=44.
\end{array}

There are a total of 79 Gooses and Dogs on a farm. Given that the total number of legs on the farm is 228, find the number of Dogs

34

35

39

36

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
79\times2=158
\end{array}
legs.

However, there are actually 228 legs.

Therefore, there are
\begin{array}{rcl}
228-158=70
\end{array}
extra legs.

If we replace one Goose by one Dog, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Dogs is
\begin{array}{rcl}
70\div2=35.
\end{array}
The number of Gooses is
\begin{array}{rcl}
79-35=44.
\end{array}__Method 2: Method of Assumption__

Assume all were Dogs, there would be only
\begin{array}{rcl}
79\times4=316
\end{array}
legs.

However, there are actually only 228 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
316-228=88
\end{array}
legs.

If we replace one Dog by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
88\div2=44.
\end{array}
The number of Dogs is
\begin{array}{rcl}
79-44=35.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
79\times2=158
\end{array}
legs.

However, there are actually 228 legs.

Therefore, there are
\begin{array}{rcl}
228-158=70
\end{array}
extra legs.

If we replace one Goose by one Dog, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Dogs is
\begin{array}{rcl}
70\div2=35.
\end{array}
The number of Gooses is
\begin{array}{rcl}
79-35=44.
\end{array}__Method 2: Method of Assumption__

Assume all were Dogs, there would be only
\begin{array}{rcl}
79\times4=316
\end{array}
legs.

However, there are actually only 228 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
316-228=88
\end{array}
legs.

If we replace one Dog by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
88\div2=44.
\end{array}
The number of Dogs is
\begin{array}{rcl}
79-44=35.
\end{array}

There are a total of 36 Ducks and Goats on a farm. Given that the total number of legs on the farm is 112, find the number of Ducks

13

21

16

19

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
36\times2=72
\end{array}
legs.

However, there are actually 112 legs.

Therefore, there are
\begin{array}{rcl}
112-72=40
\end{array}
extra legs.

If we replace one Duck by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
40\div2=20.
\end{array}
The number of Ducks is
\begin{array}{rcl}
36-20=16.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
36\times4=144
\end{array}
legs.

However, there are actually only 112 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
144-112=32
\end{array}
legs.

If we replace one Goat by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
32\div2=16.
\end{array}
The number of Goats is
\begin{array}{rcl}
36-16=20.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
36\times2=72
\end{array}
legs.

However, there are actually 112 legs.

Therefore, there are
\begin{array}{rcl}
112-72=40
\end{array}
extra legs.

If we replace one Duck by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
40\div2=20.
\end{array}
The number of Ducks is
\begin{array}{rcl}
36-20=16.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
36\times4=144
\end{array}
legs.

However, there are actually only 112 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
144-112=32
\end{array}
legs.

If we replace one Goat by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
32\div2=16.
\end{array}
The number of Goats is
\begin{array}{rcl}
36-16=20.
\end{array}

There are a total of 73 Chickens and Cows on a farm. Given that the total number of legs on the farm is 148, find the number of Chickens

68

73

77

72

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
73\times2=146
\end{array}
legs.

However, there are actually 148 legs.

Therefore, there are
\begin{array}{rcl}
148-146=2
\end{array}
extra legs.

If we replace one Chicken by one Cow, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Cows is
\begin{array}{rcl}
2\div2=1.
\end{array}
The number of Chickens is
\begin{array}{rcl}
73-1=72.
\end{array}__Method 2: Method of Assumption__

Assume all were Cows, there would be only
\begin{array}{rcl}
73\times4=292
\end{array}
legs.

However, there are actually only 148 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
292-148=144
\end{array}
legs.

If we replace one Cow by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
144\div2=72.
\end{array}
The number of Cows is
\begin{array}{rcl}
73-72=1.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
73\times2=146
\end{array}
legs.

However, there are actually 148 legs.

Therefore, there are
\begin{array}{rcl}
148-146=2
\end{array}
extra legs.

If we replace one Chicken by one Cow, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Cows is
\begin{array}{rcl}
2\div2=1.
\end{array}
The number of Chickens is
\begin{array}{rcl}
73-1=72.
\end{array}__Method 2: Method of Assumption__

Assume all were Cows, there would be only
\begin{array}{rcl}
73\times4=292
\end{array}
legs.

However, there are actually only 148 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
292-148=144
\end{array}
legs.

If we replace one Cow by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
144\div2=72.
\end{array}
The number of Cows is
\begin{array}{rcl}
73-72=1.
\end{array}

There are a total of 102 Ducks and Cows on a farm. Given that the total number of legs on the farm is 268, find the number of Ducks

71

66

70

65

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
102\times2=204
\end{array}
legs.

However, there are actually 268 legs.

Therefore, there are
\begin{array}{rcl}
268-204=64
\end{array}
extra legs.

If we replace one Duck by one Cow, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Cows is
\begin{array}{rcl}
64\div2=32.
\end{array}
The number of Ducks is
\begin{array}{rcl}
102-32=70.
\end{array}__Method 2: Method of Assumption__

Assume all were Cows, there would be only
\begin{array}{rcl}
102\times4=408
\end{array}
legs.

However, there are actually only 268 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
408-268=140
\end{array}
legs.

If we replace one Cow by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
140\div2=70.
\end{array}
The number of Cows is
\begin{array}{rcl}
102-70=32.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
102\times2=204
\end{array}
legs.

However, there are actually 268 legs.

Therefore, there are
\begin{array}{rcl}
268-204=64
\end{array}
extra legs.

If we replace one Duck by one Cow, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Cows is
\begin{array}{rcl}
64\div2=32.
\end{array}
The number of Ducks is
\begin{array}{rcl}
102-32=70.
\end{array}__Method 2: Method of Assumption__

Assume all were Cows, there would be only
\begin{array}{rcl}
102\times4=408
\end{array}
legs.

However, there are actually only 268 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
408-268=140
\end{array}
legs.

If we replace one Cow by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
140\div2=70.
\end{array}
The number of Cows is
\begin{array}{rcl}
102-70=32.
\end{array}

There are a total of 69 Gooses and Dogs on a farm. Given that the total number of legs on the farm is 144, find the number of Dogs

5

7

3

9

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
69\times2=138
\end{array}
legs.

However, there are actually 144 legs.

Therefore, there are
\begin{array}{rcl}
144-138=6
\end{array}
extra legs.

If we replace one Goose by one Dog, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Dogs is
\begin{array}{rcl}
6\div2=3.
\end{array}
The number of Gooses is
\begin{array}{rcl}
69-3=66.
\end{array}__Method 2: Method of Assumption__

Assume all were Dogs, there would be only
\begin{array}{rcl}
69\times4=276
\end{array}
legs.

However, there are actually only 144 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
276-144=132
\end{array}
legs.

If we replace one Dog by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
132\div2=66.
\end{array}
The number of Dogs is
\begin{array}{rcl}
69-66=3.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
69\times2=138
\end{array}
legs.

However, there are actually 144 legs.

Therefore, there are
\begin{array}{rcl}
144-138=6
\end{array}
extra legs.

If we replace one Goose by one Dog, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Dogs is
\begin{array}{rcl}
6\div2=3.
\end{array}
The number of Gooses is
\begin{array}{rcl}
69-3=66.
\end{array}__Method 2: Method of Assumption__

Assume all were Dogs, there would be only
\begin{array}{rcl}
69\times4=276
\end{array}
legs.

However, there are actually only 144 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
276-144=132
\end{array}
legs.

If we replace one Dog by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
132\div2=66.
\end{array}
The number of Dogs is
\begin{array}{rcl}
69-66=3.
\end{array}

There are a total of 72 Ducks and Rabbits on a farm. Given that the total number of legs on the farm is 176, find the number of Rabbits

18

13

16

20

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
72\times2=144
\end{array}
legs.

However, there are actually 176 legs.

Therefore, there are
\begin{array}{rcl}
176-144=32
\end{array}
extra legs.

If we replace one Duck by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
32\div2=16.
\end{array}
The number of Ducks is
\begin{array}{rcl}
72-16=56.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
72\times4=288
\end{array}
legs.

However, there are actually only 176 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
288-176=112
\end{array}
legs.

If we replace one Rabbit by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
112\div2=56.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
72-56=16.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
72\times2=144
\end{array}
legs.

However, there are actually 176 legs.

Therefore, there are
\begin{array}{rcl}
176-144=32
\end{array}
extra legs.

If we replace one Duck by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
32\div2=16.
\end{array}
The number of Ducks is
\begin{array}{rcl}
72-16=56.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
72\times4=288
\end{array}
legs.

However, there are actually only 176 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
288-176=112
\end{array}
legs.

If we replace one Rabbit by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
112\div2=56.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
72-56=16.
\end{array}

There are a total of 65 Chickens and Cows on a farm. Given that the total number of legs on the farm is 252, find the number of Cows

65

56

61

58

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
65\times2=130
\end{array}
legs.

However, there are actually 252 legs.

Therefore, there are
\begin{array}{rcl}
252-130=122
\end{array}
extra legs.

If we replace one Chicken by one Cow, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Cows is
\begin{array}{rcl}
122\div2=61.
\end{array}
The number of Chickens is
\begin{array}{rcl}
65-61=4.
\end{array}__Method 2: Method of Assumption__

Assume all were Cows, there would be only
\begin{array}{rcl}
65\times4=260
\end{array}
legs.

However, there are actually only 252 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
260-252=8
\end{array}
legs.

If we replace one Cow by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
8\div2=4.
\end{array}
The number of Cows is
\begin{array}{rcl}
65-4=61.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
65\times2=130
\end{array}
legs.

However, there are actually 252 legs.

Therefore, there are
\begin{array}{rcl}
252-130=122
\end{array}
extra legs.

If we replace one Chicken by one Cow, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Cows is
\begin{array}{rcl}
122\div2=61.
\end{array}
The number of Chickens is
\begin{array}{rcl}
65-61=4.
\end{array}__Method 2: Method of Assumption__

Assume all were Cows, there would be only
\begin{array}{rcl}
65\times4=260
\end{array}
legs.

However, there are actually only 252 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
260-252=8
\end{array}
legs.

If we replace one Cow by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
8\div2=4.
\end{array}
The number of Cows is
\begin{array}{rcl}
65-4=61.
\end{array}

There are a total of 116 Chickens and Donkeys on a farm. Given that the total number of legs on the farm is 280, find the number of Chickens

98

90

94

92

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
116\times2=232
\end{array}
legs.

However, there are actually 280 legs.

Therefore, there are
\begin{array}{rcl}
280-232=48
\end{array}
extra legs.

If we replace one Chicken by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
48\div2=24.
\end{array}
The number of Chickens is
\begin{array}{rcl}
116-24=92.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
116\times4=464
\end{array}
legs.

However, there are actually only 280 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
464-280=184
\end{array}
legs.

If we replace one Donkey by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
184\div2=92.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
116-92=24.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
116\times2=232
\end{array}
legs.

However, there are actually 280 legs.

Therefore, there are
\begin{array}{rcl}
280-232=48
\end{array}
extra legs.

If we replace one Chicken by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
48\div2=24.
\end{array}
The number of Chickens is
\begin{array}{rcl}
116-24=92.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
116\times4=464
\end{array}
legs.

However, there are actually only 280 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
464-280=184
\end{array}
legs.

If we replace one Donkey by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
184\div2=92.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
116-92=24.
\end{array}

There are a total of 53 Gooses and Donkeys on a farm. Given that the total number of legs on the farm is 204, find the number of Gooses

7

6

5

4

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
53\times2=106
\end{array}
legs.

However, there are actually 204 legs.

Therefore, there are
\begin{array}{rcl}
204-106=98
\end{array}
extra legs.

If we replace one Goose by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
98\div2=49.
\end{array}
The number of Gooses is
\begin{array}{rcl}
53-49=4.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
53\times4=212
\end{array}
legs.

However, there are actually only 204 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
212-204=8
\end{array}
legs.

If we replace one Donkey by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
8\div2=4.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
53-4=49.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
53\times2=106
\end{array}
legs.

However, there are actually 204 legs.

Therefore, there are
\begin{array}{rcl}
204-106=98
\end{array}
extra legs.

If we replace one Goose by one Donkey, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Donkeys is
\begin{array}{rcl}
98\div2=49.
\end{array}
The number of Gooses is
\begin{array}{rcl}
53-49=4.
\end{array}__Method 2: Method of Assumption__

Assume all were Donkeys, there would be only
\begin{array}{rcl}
53\times4=212
\end{array}
legs.

However, there are actually only 204 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
212-204=8
\end{array}
legs.

If we replace one Donkey by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
8\div2=4.
\end{array}
The number of Donkeys is
\begin{array}{rcl}
53-4=49.
\end{array}

There are a total of 59 Ducks and Horses on a farm. Given that the total number of legs on the farm is 232, find the number of Horses

57

52

54

61

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
59\times2=118
\end{array}
legs.

However, there are actually 232 legs.

Therefore, there are
\begin{array}{rcl}
232-118=114
\end{array}
extra legs.

If we replace one Duck by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
114\div2=57.
\end{array}
The number of Ducks is
\begin{array}{rcl}
59-57=2.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
59\times4=236
\end{array}
legs.

However, there are actually only 232 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
236-232=4
\end{array}
legs.

If we replace one Horse by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
4\div2=2.
\end{array}
The number of Horses is
\begin{array}{rcl}
59-2=57.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
59\times2=118
\end{array}
legs.

However, there are actually 232 legs.

Therefore, there are
\begin{array}{rcl}
232-118=114
\end{array}
extra legs.

If we replace one Duck by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
114\div2=57.
\end{array}
The number of Ducks is
\begin{array}{rcl}
59-57=2.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
59\times4=236
\end{array}
legs.

However, there are actually only 232 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
236-232=4
\end{array}
legs.

If we replace one Horse by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
4\div2=2.
\end{array}
The number of Horses is
\begin{array}{rcl}
59-2=57.
\end{array}

There are a total of 25 Ducks and Goats on a farm. Given that the total number of legs on the farm is 68, find the number of Goats

5

14

9

11

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
25\times2=50
\end{array}
legs.

However, there are actually 68 legs.

Therefore, there are
\begin{array}{rcl}
68-50=18
\end{array}
extra legs.

If we replace one Duck by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
18\div2=9.
\end{array}
The number of Ducks is
\begin{array}{rcl}
25-9=16.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
25\times4=100
\end{array}
legs.

However, there are actually only 68 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
100-68=32
\end{array}
legs.

If we replace one Goat by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
32\div2=16.
\end{array}
The number of Goats is
\begin{array}{rcl}
25-16=9.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
25\times2=50
\end{array}
legs.

However, there are actually 68 legs.

Therefore, there are
\begin{array}{rcl}
68-50=18
\end{array}
extra legs.

If we replace one Duck by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
18\div2=9.
\end{array}
The number of Ducks is
\begin{array}{rcl}
25-9=16.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
25\times4=100
\end{array}
legs.

However, there are actually only 68 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
100-68=32
\end{array}
legs.

If we replace one Goat by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
32\div2=16.
\end{array}
The number of Goats is
\begin{array}{rcl}
25-16=9.
\end{array}

There are a total of 71 Gooses and Dogs on a farm. Given that the total number of legs on the farm is 236, find the number of Gooses

25

32

24

21

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
71\times2=142
\end{array}
legs.

However, there are actually 236 legs.

Therefore, there are
\begin{array}{rcl}
236-142=94
\end{array}
extra legs.

If we replace one Goose by one Dog, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Dogs is
\begin{array}{rcl}
94\div2=47.
\end{array}
The number of Gooses is
\begin{array}{rcl}
71-47=24.
\end{array}__Method 2: Method of Assumption__

Assume all were Dogs, there would be only
\begin{array}{rcl}
71\times4=284
\end{array}
legs.

However, there are actually only 236 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
284-236=48
\end{array}
legs.

If we replace one Dog by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
48\div2=24.
\end{array}
The number of Dogs is
\begin{array}{rcl}
71-24=47.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
71\times2=142
\end{array}
legs.

However, there are actually 236 legs.

Therefore, there are
\begin{array}{rcl}
236-142=94
\end{array}
extra legs.

If we replace one Goose by one Dog, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Dogs is
\begin{array}{rcl}
94\div2=47.
\end{array}
The number of Gooses is
\begin{array}{rcl}
71-47=24.
\end{array}__Method 2: Method of Assumption__

Assume all were Dogs, there would be only
\begin{array}{rcl}
71\times4=284
\end{array}
legs.

However, there are actually only 236 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
284-236=48
\end{array}
legs.

If we replace one Dog by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
48\div2=24.
\end{array}
The number of Dogs is
\begin{array}{rcl}
71-24=47.
\end{array}

There are a total of 73 Gooses and Pigs on a farm. Given that the total number of legs on the farm is 156, find the number of Pigs

3

9

2

5

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
73\times2=146
\end{array}
legs.

However, there are actually 156 legs.

Therefore, there are
\begin{array}{rcl}
156-146=10
\end{array}
extra legs.

If we replace one Goose by one Pig, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Pigs is
\begin{array}{rcl}
10\div2=5.
\end{array}
The number of Gooses is
\begin{array}{rcl}
73-5=68.
\end{array}__Method 2: Method of Assumption__

Assume all were Pigs, there would be only
\begin{array}{rcl}
73\times4=292
\end{array}
legs.

However, there are actually only 156 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
292-156=136
\end{array}
legs.

If we replace one Pig by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
136\div2=68.
\end{array}
The number of Pigs is
\begin{array}{rcl}
73-68=5.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
73\times2=146
\end{array}
legs.

However, there are actually 156 legs.

Therefore, there are
\begin{array}{rcl}
156-146=10
\end{array}
extra legs.

If we replace one Goose by one Pig, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Pigs is
\begin{array}{rcl}
10\div2=5.
\end{array}
The number of Gooses is
\begin{array}{rcl}
73-5=68.
\end{array}__Method 2: Method of Assumption__

Assume all were Pigs, there would be only
\begin{array}{rcl}
73\times4=292
\end{array}
legs.

However, there are actually only 156 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
292-156=136
\end{array}
legs.

If we replace one Pig by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
136\div2=68.
\end{array}
The number of Pigs is
\begin{array}{rcl}
73-68=5.
\end{array}

There are a total of 62 Chickens and Cows on a farm. Given that the total number of legs on the farm is 160, find the number of Chickens

44

40

52

46

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
62\times2=124
\end{array}
legs.

However, there are actually 160 legs.

Therefore, there are
\begin{array}{rcl}
160-124=36
\end{array}
extra legs.

If we replace one Chicken by one Cow, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Cows is
\begin{array}{rcl}
36\div2=18.
\end{array}
The number of Chickens is
\begin{array}{rcl}
62-18=44.
\end{array}__Method 2: Method of Assumption__

Assume all were Cows, there would be only
\begin{array}{rcl}
62\times4=248
\end{array}
legs.

However, there are actually only 160 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
248-160=88
\end{array}
legs.

If we replace one Cow by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
88\div2=44.
\end{array}
The number of Cows is
\begin{array}{rcl}
62-44=18.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
62\times2=124
\end{array}
legs.

However, there are actually 160 legs.

Therefore, there are
\begin{array}{rcl}
160-124=36
\end{array}
extra legs.

If we replace one Chicken by one Cow, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Cows is
\begin{array}{rcl}
36\div2=18.
\end{array}
The number of Chickens is
\begin{array}{rcl}
62-18=44.
\end{array}__Method 2: Method of Assumption__

Assume all were Cows, there would be only
\begin{array}{rcl}
62\times4=248
\end{array}
legs.

However, there are actually only 160 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
248-160=88
\end{array}
legs.

If we replace one Cow by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
88\div2=44.
\end{array}
The number of Cows is
\begin{array}{rcl}
62-44=18.
\end{array}

There are a total of 102 Chickens and Horses on a farm. Given that the total number of legs on the farm is 256, find the number of Chickens

80

77

76

75

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
102\times2=204
\end{array}
legs.

However, there are actually 256 legs.

Therefore, there are
\begin{array}{rcl}
256-204=52
\end{array}
extra legs.

If we replace one Chicken by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
52\div2=26.
\end{array}
The number of Chickens is
\begin{array}{rcl}
102-26=76.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
102\times4=408
\end{array}
legs.

However, there are actually only 256 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
408-256=152
\end{array}
legs.

If we replace one Horse by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
152\div2=76.
\end{array}
The number of Horses is
\begin{array}{rcl}
102-76=26.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
102\times2=204
\end{array}
legs.

However, there are actually 256 legs.

Therefore, there are
\begin{array}{rcl}
256-204=52
\end{array}
extra legs.

If we replace one Chicken by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
52\div2=26.
\end{array}
The number of Chickens is
\begin{array}{rcl}
102-26=76.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
102\times4=408
\end{array}
legs.

However, there are actually only 256 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
408-256=152
\end{array}
legs.

If we replace one Horse by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
152\div2=76.
\end{array}
The number of Horses is
\begin{array}{rcl}
102-76=26.
\end{array}

There are a total of 53 Ducks and Rabbits on a farm. Given that the total number of legs on the farm is 172, find the number of Rabbits

33

29

38

31

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
53\times2=106
\end{array}
legs.

However, there are actually 172 legs.

Therefore, there are
\begin{array}{rcl}
172-106=66
\end{array}
extra legs.

If we replace one Duck by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
66\div2=33.
\end{array}
The number of Ducks is
\begin{array}{rcl}
53-33=20.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
53\times4=212
\end{array}
legs.

However, there are actually only 172 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
212-172=40
\end{array}
legs.

If we replace one Rabbit by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
40\div2=20.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
53-20=33.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
53\times2=106
\end{array}
legs.

However, there are actually 172 legs.

Therefore, there are
\begin{array}{rcl}
172-106=66
\end{array}
extra legs.

If we replace one Duck by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
66\div2=33.
\end{array}
The number of Ducks is
\begin{array}{rcl}
53-33=20.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
53\times4=212
\end{array}
legs.

However, there are actually only 172 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
212-172=40
\end{array}
legs.

If we replace one Rabbit by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
40\div2=20.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
53-20=33.
\end{array}

There are a total of 77 Chickens and Rabbits on a farm. Given that the total number of legs on the farm is 224, find the number of Chickens

46

43

47

42

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
77\times2=154
\end{array}
legs.

However, there are actually 224 legs.

Therefore, there are
\begin{array}{rcl}
224-154=70
\end{array}
extra legs.

If we replace one Chicken by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
70\div2=35.
\end{array}
The number of Chickens is
\begin{array}{rcl}
77-35=42.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
77\times4=308
\end{array}
legs.

However, there are actually only 224 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
308-224=84
\end{array}
legs.

If we replace one Rabbit by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
84\div2=42.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
77-42=35.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
77\times2=154
\end{array}
legs.

However, there are actually 224 legs.

Therefore, there are
\begin{array}{rcl}
224-154=70
\end{array}
extra legs.

If we replace one Chicken by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
70\div2=35.
\end{array}
The number of Chickens is
\begin{array}{rcl}
77-35=42.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
77\times4=308
\end{array}
legs.

However, there are actually only 224 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
308-224=84
\end{array}
legs.

If we replace one Rabbit by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
84\div2=42.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
77-42=35.
\end{array}

There are a total of 19 Ducks and Horses on a farm. Given that the total number of legs on the farm is 60, find the number of Horses

11

19

8

15

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
19\times2=38
\end{array}
legs.

However, there are actually 60 legs.

Therefore, there are
\begin{array}{rcl}
60-38=22
\end{array}
extra legs.

If we replace one Duck by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
22\div2=11.
\end{array}
The number of Ducks is
\begin{array}{rcl}
19-11=8.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
19\times4=76
\end{array}
legs.

However, there are actually only 60 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
76-60=16
\end{array}
legs.

If we replace one Horse by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
16\div2=8.
\end{array}
The number of Horses is
\begin{array}{rcl}
19-8=11.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
19\times2=38
\end{array}
legs.

However, there are actually 60 legs.

Therefore, there are
\begin{array}{rcl}
60-38=22
\end{array}
extra legs.

If we replace one Duck by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
22\div2=11.
\end{array}
The number of Ducks is
\begin{array}{rcl}
19-11=8.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
19\times4=76
\end{array}
legs.

However, there are actually only 60 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
76-60=16
\end{array}
legs.

If we replace one Horse by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
16\div2=8.
\end{array}
The number of Horses is
\begin{array}{rcl}
19-8=11.
\end{array}

There are a total of 56 Ducks and Goats on a farm. Given that the total number of legs on the farm is 180, find the number of Goats

42

31

34

40

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
56\times2=112
\end{array}
legs.

However, there are actually 180 legs.

Therefore, there are
\begin{array}{rcl}
180-112=68
\end{array}
extra legs.

If we replace one Duck by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
68\div2=34.
\end{array}
The number of Ducks is
\begin{array}{rcl}
56-34=22.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
56\times4=224
\end{array}
legs.

However, there are actually only 180 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
224-180=44
\end{array}
legs.

If we replace one Goat by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
44\div2=22.
\end{array}
The number of Goats is
\begin{array}{rcl}
56-22=34.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Ducks, there would be only
\begin{array}{rcl}
56\times2=112
\end{array}
legs.

However, there are actually 180 legs.

Therefore, there are
\begin{array}{rcl}
180-112=68
\end{array}
extra legs.

If we replace one Duck by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
68\div2=34.
\end{array}
The number of Ducks is
\begin{array}{rcl}
56-34=22.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
56\times4=224
\end{array}
legs.

However, there are actually only 180 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
224-180=44
\end{array}
legs.

If we replace one Goat by one Duck, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Ducks is
\begin{array}{rcl}
44\div2=22.
\end{array}
The number of Goats is
\begin{array}{rcl}
56-22=34.
\end{array}

There are a total of 78 Chickens and Pigs on a farm. Given that the total number of legs on the farm is 248, find the number of Chickens

30

31

32

40

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
78\times2=156
\end{array}
legs.

However, there are actually 248 legs.

Therefore, there are
\begin{array}{rcl}
248-156=92
\end{array}
extra legs.

If we replace one Chicken by one Pig, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Pigs is
\begin{array}{rcl}
92\div2=46.
\end{array}
The number of Chickens is
\begin{array}{rcl}
78-46=32.
\end{array}__Method 2: Method of Assumption__

Assume all were Pigs, there would be only
\begin{array}{rcl}
78\times4=312
\end{array}
legs.

However, there are actually only 248 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
312-248=64
\end{array}
legs.

If we replace one Pig by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
64\div2=32.
\end{array}
The number of Pigs is
\begin{array}{rcl}
78-32=46.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
78\times2=156
\end{array}
legs.

However, there are actually 248 legs.

Therefore, there are
\begin{array}{rcl}
248-156=92
\end{array}
extra legs.

If we replace one Chicken by one Pig, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Pigs is
\begin{array}{rcl}
92\div2=46.
\end{array}
The number of Chickens is
\begin{array}{rcl}
78-46=32.
\end{array}__Method 2: Method of Assumption__

Assume all were Pigs, there would be only
\begin{array}{rcl}
78\times4=312
\end{array}
legs.

However, there are actually only 248 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
312-248=64
\end{array}
legs.

If we replace one Pig by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
64\div2=32.
\end{array}
The number of Pigs is
\begin{array}{rcl}
78-32=46.
\end{array}

There are a total of 64 Chickens and Goats on a farm. Given that the total number of legs on the farm is 140, find the number of Goats

3

9

12

6

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
64\times2=128
\end{array}
legs.

However, there are actually 140 legs.

Therefore, there are
\begin{array}{rcl}
140-128=12
\end{array}
extra legs.

If we replace one Chicken by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
12\div2=6.
\end{array}
The number of Chickens is
\begin{array}{rcl}
64-6=58.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
64\times4=256
\end{array}
legs.

However, there are actually only 140 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
256-140=116
\end{array}
legs.

If we replace one Goat by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
116\div2=58.
\end{array}
The number of Goats is
\begin{array}{rcl}
64-58=6.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
64\times2=128
\end{array}
legs.

However, there are actually 140 legs.

Therefore, there are
\begin{array}{rcl}
140-128=12
\end{array}
extra legs.

If we replace one Chicken by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
12\div2=6.
\end{array}
The number of Chickens is
\begin{array}{rcl}
64-6=58.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
64\times4=256
\end{array}
legs.

However, there are actually only 140 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
256-140=116
\end{array}
legs.

If we replace one Goat by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
116\div2=58.
\end{array}
The number of Goats is
\begin{array}{rcl}
64-58=6.
\end{array}

There are a total of 34 Gooses and Dogs on a farm. Given that the total number of legs on the farm is 96, find the number of Gooses

22

28

20

16

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
34\times2=68
\end{array}
legs.

However, there are actually 96 legs.

Therefore, there are
\begin{array}{rcl}
96-68=28
\end{array}
extra legs.

If we replace one Goose by one Dog, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Dogs is
\begin{array}{rcl}
28\div2=14.
\end{array}
The number of Gooses is
\begin{array}{rcl}
34-14=20.
\end{array}__Method 2: Method of Assumption__

Assume all were Dogs, there would be only
\begin{array}{rcl}
34\times4=136
\end{array}
legs.

However, there are actually only 96 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
136-96=40
\end{array}
legs.

If we replace one Dog by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
40\div2=20.
\end{array}
The number of Dogs is
\begin{array}{rcl}
34-20=14.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
34\times2=68
\end{array}
legs.

However, there are actually 96 legs.

Therefore, there are
\begin{array}{rcl}
96-68=28
\end{array}
extra legs.

If we replace one Goose by one Dog, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Dogs is
\begin{array}{rcl}
28\div2=14.
\end{array}
The number of Gooses is
\begin{array}{rcl}
34-14=20.
\end{array}__Method 2: Method of Assumption__

Assume all were Dogs, there would be only
\begin{array}{rcl}
34\times4=136
\end{array}
legs.

However, there are actually only 96 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
136-96=40
\end{array}
legs.

If we replace one Dog by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
40\div2=20.
\end{array}
The number of Dogs is
\begin{array}{rcl}
34-20=14.
\end{array}

There are a total of 23 Chickens and Horses on a farm. Given that the total number of legs on the farm is 72, find the number of Chickens

18

11

10

12

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
23\times2=46
\end{array}
legs.

However, there are actually 72 legs.

Therefore, there are
\begin{array}{rcl}
72-46=26
\end{array}
extra legs.

If we replace one Chicken by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
26\div2=13.
\end{array}
The number of Chickens is
\begin{array}{rcl}
23-13=10.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
23\times4=92
\end{array}
legs.

However, there are actually only 72 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
92-72=20
\end{array}
legs.

If we replace one Horse by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
20\div2=10.
\end{array}
The number of Horses is
\begin{array}{rcl}
23-10=13.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
23\times2=46
\end{array}
legs.

However, there are actually 72 legs.

Therefore, there are
\begin{array}{rcl}
72-46=26
\end{array}
extra legs.

If we replace one Chicken by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
26\div2=13.
\end{array}
The number of Chickens is
\begin{array}{rcl}
23-13=10.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
23\times4=92
\end{array}
legs.

However, there are actually only 72 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
92-72=20
\end{array}
legs.

If we replace one Horse by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
20\div2=10.
\end{array}
The number of Horses is
\begin{array}{rcl}
23-10=13.
\end{array}

There are a total of 115 Gooses and Horses on a farm. Given that the total number of legs on the farm is 260, find the number of Gooses

96

102

108

100

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
115\times2=230
\end{array}
legs.

However, there are actually 260 legs.

Therefore, there are
\begin{array}{rcl}
260-230=30
\end{array}
extra legs.

If we replace one Goose by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
30\div2=15.
\end{array}
The number of Gooses is
\begin{array}{rcl}
115-15=100.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
115\times4=460
\end{array}
legs.

However, there are actually only 260 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
460-260=200
\end{array}
legs.

If we replace one Horse by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
200\div2=100.
\end{array}
The number of Horses is
\begin{array}{rcl}
115-100=15.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
115\times2=230
\end{array}
legs.

However, there are actually 260 legs.

Therefore, there are
\begin{array}{rcl}
260-230=30
\end{array}
extra legs.

If we replace one Goose by one Horse, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Horses is
\begin{array}{rcl}
30\div2=15.
\end{array}
The number of Gooses is
\begin{array}{rcl}
115-15=100.
\end{array}__Method 2: Method of Assumption__

Assume all were Horses, there would be only
\begin{array}{rcl}
115\times4=460
\end{array}
legs.

However, there are actually only 260 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
460-260=200
\end{array}
legs.

If we replace one Horse by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
200\div2=100.
\end{array}
The number of Horses is
\begin{array}{rcl}
115-100=15.
\end{array}

There are a total of 33 Gooses and Rabbits on a farm. Given that the total number of legs on the farm is 100, find the number of Gooses

24

16

19

14

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
33\times2=66
\end{array}
legs.

However, there are actually 100 legs.

Therefore, there are
\begin{array}{rcl}
100-66=34
\end{array}
extra legs.

If we replace one Goose by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
34\div2=17.
\end{array}
The number of Gooses is
\begin{array}{rcl}
33-17=16.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
33\times4=132
\end{array}
legs.

However, there are actually only 100 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
132-100=32
\end{array}
legs.

If we replace one Rabbit by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
32\div2=16.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
33-16=17.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Gooses, there would be only
\begin{array}{rcl}
33\times2=66
\end{array}
legs.

However, there are actually 100 legs.

Therefore, there are
\begin{array}{rcl}
100-66=34
\end{array}
extra legs.

If we replace one Goose by one Rabbit, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Rabbits is
\begin{array}{rcl}
34\div2=17.
\end{array}
The number of Gooses is
\begin{array}{rcl}
33-17=16.
\end{array}__Method 2: Method of Assumption__

Assume all were Rabbits, there would be only
\begin{array}{rcl}
33\times4=132
\end{array}
legs.

However, there are actually only 100 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
132-100=32
\end{array}
legs.

If we replace one Rabbit by one Goose, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Gooses is
\begin{array}{rcl}
32\div2=16.
\end{array}
The number of Rabbits is
\begin{array}{rcl}
33-16=17.
\end{array}

There are a total of 60 Chickens and Goats on a farm. Given that the total number of legs on the farm is 136, find the number of Goats

8

7

3

9

Sorry. Please check the correct answer below.

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
60\times2=120
\end{array}
legs.

However, there are actually 136 legs.

Therefore, there are
\begin{array}{rcl}
136-120=16
\end{array}
extra legs.

If we replace one Chicken by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
16\div2=8.
\end{array}
The number of Chickens is
\begin{array}{rcl}
60-8=52.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
60\times4=240
\end{array}
legs.

However, there are actually only 136 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
240-136=104
\end{array}
legs.

If we replace one Goat by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
104\div2=52.
\end{array}
The number of Goats is
\begin{array}{rcl}
60-52=8.
\end{array}

You are Right

__Method 1: Method of Assumption__

Assume all were Chickens, there would be only
\begin{array}{rcl}
60\times2=120
\end{array}
legs.

However, there are actually 136 legs.

Therefore, there are
\begin{array}{rcl}
136-120=16
\end{array}
extra legs.

If we replace one Chicken by one Goat, we will have
\begin{array}{rcl}
4-2=2
\end{array}
more legs.

Therefore, the number of Goats is
\begin{array}{rcl}
16\div2=8.
\end{array}
The number of Chickens is
\begin{array}{rcl}
60-8=52.
\end{array}__Method 2: Method of Assumption__

Assume all were Goats, there would be only
\begin{array}{rcl}
60\times4=240
\end{array}
legs.

However, there are actually only 136 legs.

Therefore, there are a shortage of
\begin{array}{rcl}
240-136=104
\end{array}
legs.

If we replace one Goat by one Chicken, we will have
\begin{array}{rcl}
4-2=2
\end{array}
less legs.

Therefore, the number of Chickens is
\begin{array}{rcl}
104\div2=52.
\end{array}
The number of Goats is
\begin{array}{rcl}
60-52=8.
\end{array}

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