Adam receives his allowance of $255.
The ratio of Adam's spending to Adam's saving is 3 : 2.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 8.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
3 x 3 |
2 x 3 |
Food |
Other expenses |
|
1 x 1 |
8 x 1 |
|
1 u |
8 u |
6 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
= 6 u + 9 u
= 15 u
15 u = 255
1 u = 255 ÷ 15 = 17
Amount that Adam saves
= 6 u
= 6 x 17
= $102
(b)
Amount that Adam spends more on other expenses than food
= 8 u - 1 u
= 7 u
= 7 x 17
= $119
Answer(s): (a) $102; (b) $119