Adam receives his allowance of $315.
The ratio of Adam's spending to Adam's saving is 4 : 3.
The ratio of Adam's spending on food to the remaining of other expenses is 2 : 7.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
4 x 9 |
3 x 9 |
Food |
Other expenses |
|
2 x 4 |
7 x 4 |
|
8 u |
28 u |
27 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 4 and 9.
LCM of 4 and 9 = 36
Total allowance
= 27 u + 36 u
= 63 u
63 u = 315
1 u = 315 ÷ 63 = 5
Amount that Adam saves
= 27 u
= 27 x 5
= $135
(b)
Amount that Adam spends less on food than other expenses
= 28 u - 8 u
= 20 u
= 20 x 5
= $100
Answer(s): (a) $135; (b) $100