Adam receives his allowance of $147.
The ratio of Adam's spending to Adam's saving is 2 : 1.
The ratio of Adam's spending on food to the remaining of other expenses is 3 : 4.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
2 x 7 |
1 x 7 |
Food |
Other expenses |
|
3 x 2 |
4 x 2 |
|
6 u |
8 u |
7 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 2 and 7.
LCM of 2 and 7 = 14
Total allowance
= 7 u + 14 u
= 21 u
21 u = 147
1 u = 147 ÷ 21 = 7
Amount that Adam saves
= 7 u
= 7 x 7
= $49
(b)
Amount that Adam spends more on other expenses than food
= 8 u - 6 u
= 2 u
= 2 x 7
= $14
Answer(s): (a) $49; (b) $14