Adam receives his allowance of $176.
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 3 : 8.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
3 x 11 |
1 x 11 |
Food |
Other expenses |
|
3 x 3 |
8 x 3 |
|
9 u |
24 u |
11 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 3 and 11.
LCM of 3 and 11 = 33
Total allowance
= 11 u + 33 u
= 44 u
44 u = 176
1 u = 176 ÷ 44 = 4
Amount that Adam saves
= 11 u
= 11 x 4
= $44
(b)
Amount that Adam spends less on food than other expenses
= 24 u - 9 u
= 15 u
= 15 x 4
= $60
Answer(s): (a) $44; (b) $60