Adam receives his allowance of $225.
The ratio of Adam's spending to Adam's saving is 4 : 1.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 5.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
4 x 3 |
1 x 3 |
Food |
Other expenses |
|
1 x 2 |
5 x 2 |
|
2 u |
10 u |
3 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 4 and 6.
LCM of 4 and 6 = 12
Total allowance
= 3 u + 12 u
= 15 u
15 u = 225
1 u = 225 ÷ 15 = 15
Amount that Adam saves
= 3 u
= 3 x 15
= $45
(b)
Amount that Adam spends less on food than other expenses
= 10 u - 2 u
= 8 u
= 8 x 15
= $120
Answer(s): (a) $45; (b) $120