Adam receives his allowance of $483.
The ratio of Adam's spending to Adam's saving is 2 : 1.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 6.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
2 x 7 |
1 x 7 |
Food |
Other expenses |
|
1 x 2 |
6 x 2 |
|
2 u |
12 u |
7 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 2 and 7.
LCM of 2 and 7 = 14
Total allowance
= 7 u + 14 u
= 21 u
21 u = 483
1 u = 483 ÷ 21 = 23
Amount that Adam saves
= 7 u
= 7 x 23
= $161
(b)
Amount that Adam spends more on other expenses than food
= 12 u - 2 u
= 10 u
= 10 x 23
= $230
Answer(s): (a) $161; (b) $230