Adam receives his allowance of $126.
The ratio of Adam's spending to Adam's saving is 4 : 3.
The ratio of Adam's spending on food to the remaining of other expenses is 3 : 5.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
4 x 2 |
3 x 2 |
Food |
Other expenses |
|
3 x 1 |
5 x 1 |
|
3 u |
5 u |
6 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 4 and 8.
LCM of 4 and 8 = 8
Total allowance
= 6 u + 8 u
= 14 u
14 u = 126
1 u = 126 ÷ 14 = 9
Amount that Adam saves
= 6 u
= 6 x 9
= $54
(b)
Amount that Adam spends more on other expenses than food
= 5 u - 3 u
= 2 u
= 2 x 9
= $18
Answer(s): (a) $54; (b) $18