Adam receives his allowance of $125.
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 : 9.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
4 x 5 |
1 x 5 |
Food |
Other expenses |
|
1 x 2 |
9 x 2 |
|
2 u |
18 u |
5 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 4 and 10.
LCM of 4 and 10 = 20
Total allowance
= 5 u + 20 u
= 25 u
25 u = 125
1 u = 125 ÷ 25 = 5
Amount that Adam saves
= 5 u
= 5 x 5
= $25
(b)
Amount that Adam spends more on other expenses than food
= 18 u - 2 u
= 16 u
= 16 x 5
= $80
Answer(s): (a) $25; (b) $80