Adam receives his allowance of $250.
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 : 4.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
4 x 5 |
1 x 5 |
Food |
Other expenses |
|
1 x 4 |
4 x 4 |
|
4 u |
16 u |
5 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 4 and 5.
LCM of 4 and 5 = 20
Total allowance
= 5 u + 20 u
= 25 u
25 u = 250
1 u = 250 ÷ 25 = 10
Amount that Adam saves
= 5 u
= 5 x 10
= $50
(b)
Amount that Adam spends less on food than other expenses
= 16 u - 4 u
= 12 u
= 12 x 10
= $120
Answer(s): (a) $50; (b) $120