Adam receives his allowance of $112.
The ratio of Adam's spending to Adam's saving is 6 : 1.
The ratio of Adam's spending on food to the remaining of other expenses is 3 : 5.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
6 x 4 |
1 x 4 |
Food |
Other expenses |
|
3 x 3 |
5 x 3 |
|
9 u |
15 u |
4 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 6 and 8.
LCM of 6 and 8 = 24
Total allowance
= 4 u + 24 u
= 28 u
28 u = 112
1 u = 112 ÷ 28 = 4
Amount that Adam saves
= 4 u
= 4 x 4
= $16
(b)
Amount that Adam spends more on other expenses than food
= 15 u - 9 u
= 6 u
= 6 x 4
= $24
Answer(s): (a) $16; (b) $24