Adam receives his allowance of $180.
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 : 5.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
2 x 3 |
1 x 3 |
Food |
Other expenses |
|
1 x 1 |
5 x 1 |
|
1 u |
5 u |
3 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 2 and 6.
LCM of 2 and 6 = 6
Total allowance
= 3 u + 6 u
= 9 u
9 u = 180
1 u = 180 ÷ 9 = 20
Amount that Adam saves
= 3 u
= 3 x 20
= $60
(b)
Amount that Adam spends less on food than other expenses
= 5 u - 1 u
= 4 u
= 4 x 20
= $80
Answer(s): (a) $60; (b) $80