Adam receives his allowance of $144.
The ratio of Adam's spending to Adam's saving is 5 : 3.
The ratio of Adam's spending on food to the remaining of other expenses is 2 : 7.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
5 x 9 |
3 x 9 |
Food |
Other expenses |
|
2 x 5 |
7 x 5 |
|
10 u |
35 u |
27 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 5 and 9.
LCM of 5 and 9 = 45
Total allowance
= 27 u + 45 u
= 72 u
72 u = 144
1 u = 144 ÷ 72 = 2
Amount that Adam saves
= 27 u
= 27 x 2
= $54
(b)
Amount that Adam spends less on food than other expenses
= 35 u - 10 u
= 25 u
= 25 x 2
= $50
Answer(s): (a) $54; (b) $50