Adam receives his allowance of $385.
The ratio of Adam's spending to Adam's saving is 4 : 1.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 10.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
4 x 11 |
1 x 11 |
Food |
Other expenses |
|
1 x 4 |
10 x 4 |
|
4 u |
40 u |
11 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 4 and 11.
LCM of 4 and 11 = 44
Total allowance
= 11 u + 44 u
= 55 u
55 u = 385
1 u = 385 ÷ 55 = 7
Amount that Adam saves
= 11 u
= 11 x 7
= $77
(b)
Amount that Adam spends less on food than other expenses
= 40 u - 4 u
= 36 u
= 36 x 7
= $252
Answer(s): (a) $77; (b) $252