Adam receives his allowance of $210.
The ratio of Adam's spending to Adam's saving is 3 : 2.
The ratio of Adam's spending on food to the remaining of other expenses is 2 : 5.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
3 x 7 |
2 x 7 |
Food |
Other expenses |
|
2 x 3 |
5 x 3 |
|
6 u |
15 u |
14 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 3 and 7.
LCM of 3 and 7 = 21
Total allowance
= 14 u + 21 u
= 35 u
35 u = 210
1 u = 210 ÷ 35 = 6
Amount that Adam saves
= 14 u
= 14 x 6
= $84
(b)
Amount that Adam spends less on food than other expenses
= 15 u - 6 u
= 9 u
= 9 x 6
= $54
Answer(s): (a) $84; (b) $54