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Question

Answer

Pocket Money

R -> 3u

S -> 5u

Expenditure

R -> 7p

S -> 12p

Given

R’s pocket money (3u) is 3/4 of S’s expenditure (12p)

3u = 3/4 × 12p = 9p

1u = 3p

Pocket Money 

R -> 3u = 9p

S -> 5u = 15p

Savings

R -> 9p – 7p = 2p

S -> 15p – 12p = 3p

(a) Ratio of R’s savings to S’s savings = 2 : 3

Given: 2p = $11.20

1p = $5.60

(b) Difference in pocket money -> 15p – 9p = 6p = $33.60

0 Replies 2 Likes ✔Accepted Answer

An alternate is to use finding a common unit strategy. It is possible because there’s a link between the expenditure and pocket money (Ros’s pocket money was 3/4 of Sheela’s expenditure)

Sheela’s expenditure = 12u —-(1)
Ros’s expenditure = 7u, From 7/12 of (1)
Ros’s pocket Money = 9u , From 3/4 of (1)
Sheels’s pocket money = 15u , From 3/5 of Ros’s pocket money

Now we have managed to assign them with common units.

a) Ros’s saving = 9u – 7u = 2u
Sheela’s saving = 15u – 12u = 3u
Ros’s saving : Sheela’s saving => 2 : 3 ###

b) 2u = 11.20
u = 11.20/2 = 5.60

Sheela’s pocket money – Ros’s Pocket money = 15u – 9u
= 6u

6u = 6 X 5.6 = $33.60 ##

0 Replies 2 Likes

(a)
monthly pocket money —
Roslinda : Sheela
3 : 5
36u : 60u

expenditure —
Roslinda : Sheela
7 : 12
28u : 48u

Roslinda’s savings ——- 36u – 28u = 8u
Sheela’s savings ——- 60u – 48u = 12u
ratio of Roslinda’s savings to Sheela’s savings is 8u : 12u = 2 : 3

(b)
8u ——- 11.20
1u ——- 11.20/8 = 1.40
60u – 36u = 24u ——- 24 x 1.40 = 33.60

Ans : (a) 2 : 3; (b) $33.60.

0 Replies 2 Likes
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