Adam receives his allowance of $216.
The ratio of Adam's spending to Adam's saving is 5 : 4.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 7.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
5 x 8 |
4 x 8 |
Food |
Other expenses |
|
1 x 5 |
7 x 5 |
|
5 u |
35 u |
32 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 5 and 8.
LCM of 5 and 8 = 40
Total allowance
= 32 u + 40 u
= 72 u
72 u = 216
1 u = 216 ÷ 72 = 3
Amount that Adam saves
= 32 u
= 32 x 3
= $96
(b)
Amount that Adam spends more on other expenses than food
= 35 u - 5 u
= 30 u
= 30 x 3
= $90
Answer(s): (a) $96; (b) $90