SOLUTION: Roslinda's monthly pocket money was 3/5 of Sheela's monthly pocket money. Roslinda's expenditure was 7/12 of Sheela's expenditure. Roslinda's monthly pocket money was 3/4 of Sheel

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Question 1201510: Roslinda's monthly pocket money was 3/5 of Sheela's monthly pocket money. Roslinda's expenditure was 7/12 of Sheela's expenditure. Roslinda's monthly pocket money was 3/4 of Sheela's expenditure.(a)Find the ratio of Roslinda's savings to Sheela's savings. (b) If Roslinda saved $11.20, how much more pocket money did Sheela have that Roslinda?
Answer by mananth(16946) (Show Source):
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Roslinda's monthly pocket money was 3/5 of Sheela's monthly pocket money.
Sheela's pocket money be x
Roslinda's pocket money will be 3/5 x

Sheela's expenditure be y
Roslinda's expenditure was 7/12 y

Roslinda's monthly pocket money was 3/4 of Sheela's expenditure.
3/5 x =3/4 y
Roslinda's saving = 3/4 y -7/12 y= 1/6 y................1

3/5 x =3/4 y
x= 15/12 =5/4 y
Sheela's saving = x-y => 5/4 y - y = y/4 ---------------2

(Roslinda's saving) / (Sheela's saving) = = 2/3
Roslinda saved $11.20,
Roslinda's saving 1/6 y
11.20*6=y
y=67.20 (Sheela's expenditure)
x= 5/4 y
x= 5/4 *67.20
x = 84 Sheela's pocket money
Roslinda's pocket money = 3/5 * x => 3/5 * 84 = 50.4