Adam receives his allowance of $320.
The ratio of Adam's spending to Adam's saving is 3 : 1.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 9.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
3 x 10 |
1 x 10 |
Food |
Other expenses |
|
1 x 3 |
9 x 3 |
|
3 u |
27 u |
10 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 3 and 10.
LCM of 3 and 10 = 30
Total allowance
= 10 u + 30 u
= 40 u
40 u = 320
1 u = 320 ÷ 40 = 8
Amount that Adam saves
= 10 u
= 10 x 8
= $80
(b)
Amount that Adam spends less on food than other expenses
= 27 u - 3 u
= 24 u
= 24 x 8
= $192
Answer(s): (a) $80; (b) $192