Adam receives his allowance of $500.
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 : 5.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
3 x 2 |
2 x 2 |
Food |
Other expenses |
|
1 x 1 |
5 x 1 |
|
1 u |
5 u |
4 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 3 and 6.
LCM of 3 and 6 = 6
Total allowance
= 4 u + 6 u
= 10 u
10 u = 500
1 u = 500 ÷ 10 = 50
Amount that Adam saves
= 4 u
= 4 x 50
= $200
(b)
Amount that Adam spends more on other expenses than food
= 5 u - 1 u
= 4 u
= 4 x 50
= $200
Answer(s): (a) $200; (b) $200