Adam receives his allowance of $168.
The ratio of Adam's spending to Adam's saving is 6 : 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 |
6 x 3 |
1 x 3 |
Food |
Other expenses |
|
1 x 2 |
8 x 2 |
|
2 u |
16 u |
3 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 6 and 9.
LCM of 6 and 9 = 18
Total allowance
= 3 u + 18 u
= 21 u
21 u = 168
1 u = 168 ÷ 21 = 8
Amount that Adam saves
= 3 u
= 3 x 8
= $24
(b)
Amount that Adam spends less on food than other expenses
= 16 u - 2 u
= 14 u
= 14 x 8
= $112
Answer(s): (a) $24; (b) $112