Adam receives his allowance of $440.
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 : 9.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
3 x 11 |
2 x 11 |
Food |
Other expenses |
|
2 x 3 |
9 x 3 |
|
6 u |
27 u |
22 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 3 and 11.
LCM of 3 and 11 = 33
Total allowance
= 22 u + 33 u
= 55 u
55 u = 440
1 u = 440 ÷ 55 = 8
Amount that Adam saves
= 22 u
= 22 x 8
= $176
(b)
Amount that Adam spends less on food than other expenses
= 27 u - 6 u
= 21 u
= 21 x 8
= $168
Answer(s): (a) $176; (b) $168