Adam receives his allowance of $490.
The ratio of Adam's spending to Adam's saving is 4 : 3.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 4.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
4 x 5 |
3 x 5 |
Food |
Other expenses |
|
1 x 4 |
4 x 4 |
|
4 u |
16 u |
15 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 4 and 5.
LCM of 4 and 5 = 20
Total allowance
= 15 u + 20 u
= 35 u
35 u = 490
1 u = 490 ÷ 35 = 14
Amount that Adam saves
= 15 u
= 15 x 14
= $210
(b)
Amount that Adam spends more on other expenses than food
= 16 u - 4 u
= 12 u
= 12 x 14
= $168
Answer(s): (a) $210; (b) $168