Adam receives his allowance of $105.
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 : 9.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
2 x 5 |
1 x 5 |
Food |
Other expenses |
|
1 x 1 |
9 x 1 |
|
1 u |
9 u |
5 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 2 and 10.
LCM of 2 and 10 = 10
Total allowance
= 5 u + 10 u
= 15 u
15 u = 105
1 u = 105 ÷ 15 = 7
Amount that Adam saves
= 5 u
= 5 x 7
= $35
(b)
Amount that Adam spends less on food than other expenses
= 9 u - 1 u
= 8 u
= 8 x 7
= $56
Answer(s): (a) $35; (b) $56