Adam receives his allowance of $110.
The ratio of Adam's spending to Adam's saving is 8 : 3.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 4.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
8 x 5 |
3 x 5 |
Food |
Other expenses |
|
1 x 8 |
4 x 8 |
|
8 u |
32 u |
15 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 8 and 5.
LCM of 8 and 5 = 40
Total allowance
= 15 u + 40 u
= 55 u
55 u = 110
1 u = 110 ÷ 55 = 2
Amount that Adam saves
= 15 u
= 15 x 2
= $30
(b)
Amount that Adam spends less on food than other expenses
= 32 u - 8 u
= 24 u
= 24 x 2
= $48
Answer(s): (a) $30; (b) $48