Adam receives his allowance of $496.
The ratio of Adam's spending to Adam's saving is 5 : 3.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 9.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
5 x 2 |
3 x 2 |
Food |
Other expenses |
|
1 x 1 |
9 x 1 |
|
1 u |
9 u |
6 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 5 and 10.
LCM of 5 and 10 = 10
Total allowance
= 6 u + 10 u
= 16 u
16 u = 496
1 u = 496 ÷ 16 = 31
Amount that Adam saves
= 6 u
= 6 x 31
= $186
(b)
Amount that Adam spends more on other expenses than food
= 9 u - 1 u
= 8 u
= 8 x 31
= $248
Answer(s): (a) $186; (b) $248