Adam receives his allowance of $324.
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 : 8.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
3 x 3 |
1 x 3 |
Food |
Other expenses |
|
1 x 1 |
8 x 1 |
|
1 u |
8 u |
3 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 3 and 9.
LCM of 3 and 9 = 9
Total allowance
= 3 u + 9 u
= 12 u
12 u = 324
1 u = 324 ÷ 12 = 27
Amount that Adam saves
= 3 u
= 3 x 27
= $81
(b)
Amount that Adam spends less on food than other expenses
= 8 u - 1 u
= 7 u
= 7 x 27
= $189
Answer(s): (a) $81; (b) $189