$\frac{1}{4}$ of the children in a hall were girls. After $\frac{1}{3}$ of the girls left, there were 42 more boys than girls remaining in the hall. How many children were in the hall at first?

Kumar had 480 marbles. After giving away most of his marbles to his friends, he still had $\frac{1}{6}$ of the marbles left. How many marbles did he give away?

Maureen and Serene had a total of 2136 stickers. After Maureen gave Serene 60 stickers, she still had $\frac{2}{3}$ of the total number of stickers. How many stickers did Maureen have at first?

Nina and Owen have a total of \$320. After Nina gave $\frac{1}{5}$ of her money to Owen, they now have the same amount of money. How much money did Owen have at first?

Mark spent $\frac{1}{10}$ of his salary on transport and$\frac{1}{5}$ of it on food. He also gave $\frac{1}{2}$ of his salary to his parents. He saved the remaining $480. a) What fraction of the salary did he save? b) How much money did he give his parents? c) How much did he spend on food and transport?

A

a)$\frac{1}{3}$ b) \$1000 c) $220

B

a)$\frac{1}{5}$ b) \$1200 c) $240

C

a)$\frac{1}{7}$ b) \$1400 c) $260

D

a)$\frac{1}{9}$ b) \$1600 c) $280

E

None of the above

Sorry. Please check the correct answer below.

$\frac{1}{10}$ + $\frac{1}{5}$ + $\frac{1}{2}$ = $\frac{1}{10}$ + $\frac{2}{10}$ + $\frac{5}{10}$ = $\frac{8}{10}$ $\frac{10}{10}$ - $\frac{8}{10}$ = $\frac{2}{10}$ = $\frac{1}{5}$ a) He Saved $\frac{1}{5}$ of the salary. b) 2 units $\longrightarrow$ \$480 5 units $\longrightarrow$ \$240 $\times$ 5 = \$1200 c) 1 unit = \$240 He spent \$240 on transport.

$\frac{1}{10}$ + $\frac{1}{5}$ + $\frac{1}{2}$ = $\frac{1}{10}$ + $\frac{2}{10}$ + $\frac{5}{10}$ = $\frac{8}{10}$ $\frac{10}{10}$ - $\frac{8}{10}$ = $\frac{2}{10}$ = $\frac{1}{5}$ a) He Saved $\frac{1}{5}$ of the salary. b) 2 units $\longrightarrow$ \$480 5 units $\longrightarrow$ \$240 $\times$ 5 = \$1200 c) 1 unit = \$240 He spent \$240 on transport.

As shown in the figure below, $\angle$ABCD is a rectangle. $\angle$P is the midpoint of $\angle$AD. $\angle$AQ = $\angle$QR = $\angle$RC. What fraction of the rectangle is shaded?

Wahid and Ajay had a total of 1760 marbles. After Wahid gave Ajay 130 marbles, he still had $\frac{3}{4}$ of the total number of marbles. How many marbles did Wahid have at first?

Andy gave $\frac{1}{12}$ of his stickers to Alan. He also gave $\frac{1}{3}$ and $\frac{1}{4}$ of his stickers to Ben and Charlie, respectively. He then had 96 stickers left. a) What fraction his stickers was left? b) How many stickers did he give to Charlie?

A

a)$\frac{1}{2}$ b)70

B

a)$\frac{2}{3}$ b)72

C

a)$\frac{3}{4}$ b)74

D

a)$\frac{4}{5}$ b)76

E

None of the above

Sorry. Please check the correct answer below.

$\frac{1}{12}$ + $\frac{1}{3}$ + $\frac{1}{4}$ = $\frac{1}{12}$ + $\frac{4}{12}$ + $\frac{3}{12}$ = $\frac{8}{12}$ = $\frac{2}{3}$ $\frac{4}{12}$ = 96 stickers $\frac{1}{12}$ = 24 stickers $\frac{3}{12}$ = 72 stickers a) He had $\frac{2}{3}$ of his stickers left. b) He gave 72 stickers to Charlie.

$\frac{1}{12}$ + $\frac{1}{3}$ + $\frac{1}{4}$ = $\frac{1}{12}$ + $\frac{4}{12}$ + $\frac{3}{12}$ = $\frac{8}{12}$ = $\frac{2}{3}$ $\frac{4}{12}$ = 96 stickers $\frac{1}{12}$ = 24 stickers $\frac{3}{12}$ = 72 stickers a) He had $\frac{2}{3}$ of his stickers left. b) He gave 72 stickers to Charlie.