Adam receives his allowance of $315.
The ratio of Adam's spending to Adam's saving is 4 : 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 |
4 x 9 |
1 x 9 |
Food |
Other expenses |
|
1 x 4 |
8 x 4 |
|
4 u |
32 u |
9 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 4 and 9.
LCM of 4 and 9 = 36
Total allowance
= 9 u + 36 u
= 45 u
45 u = 315
1 u = 315 ÷ 45 = 7
Amount that Adam saves
= 9 u
= 9 x 7
= $63
(b)
Amount that Adam spends less on food than other expenses
= 32 u - 4 u
= 28 u
= 28 x 7
= $196
Answer(s): (a) $63; (b) $196