Adam receives his allowance of $476.
The ratio of Adam's spending to Adam's saving is 6 : 1.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 7.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
6 x 4 |
1 x 4 |
Food |
Other expenses |
|
1 x 3 |
7 x 3 |
|
3 u |
21 u |
4 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 6 and 8.
LCM of 6 and 8 = 24
Total allowance
= 4 u + 24 u
= 28 u
28 u = 476
1 u = 476 ÷ 28 = 17
Amount that Adam saves
= 4 u
= 4 x 17
= $68
(b)
Amount that Adam spends less on food than other expenses
= 21 u - 3 u
= 18 u
= 18 x 17
= $306
Answer(s): (a) $68; (b) $306