Adam receives his allowance of $363.
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 1 : 10.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
2 x 11 |
1 x 11 |
Food |
Other expenses |
|
1 x 2 |
10 x 2 |
|
2 u |
20 u |
11 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 2 and 11.
LCM of 2 and 11 = 22
Total allowance
= 11 u + 22 u
= 33 u
33 u = 363
1 u = 363 ÷ 33 = 11
Amount that Adam saves
= 11 u
= 11 x 11
= $121
(b)
Amount that Adam spends more on other expenses than food
= 20 u - 2 u
= 18 u
= 18 x 11
= $198
Answer(s): (a) $121; (b) $198