Adam receives his allowance of $280.
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 : 6.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
3 x 7 |
2 x 7 |
Food |
Other expenses |
|
1 x 3 |
6 x 3 |
|
3 u |
18 u |
14 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 3 and 7.
LCM of 3 and 7 = 21
Total allowance
= 14 u + 21 u
= 35 u
35 u = 280
1 u = 280 ÷ 35 = 8
Amount that Adam saves
= 14 u
= 14 x 8
= $112
(b)
Amount that Adam spends more on other expenses than food
= 18 u - 3 u
= 15 u
= 15 x 8
= $120
Answer(s): (a) $112; (b) $120