Adam receives his allowance of $462.
The ratio of Adam's spending to Adam's saving is 6 : 5.
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 |
6 x 7 |
5 x 7 |
Food |
Other expenses |
|
1 x 6 |
6 x 6 |
|
6 u |
36 u |
35 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 6 and 7.
LCM of 6 and 7 = 42
Total allowance
= 35 u + 42 u
= 77 u
77 u = 462
1 u = 462 ÷ 77 = 6
Amount that Adam saves
= 35 u
= 35 x 6
= $210
(b)
Amount that Adam spends more on other expenses than food
= 36 u - 6 u
= 30 u
= 30 x 6
= $180
Answer(s): (a) $210; (b) $180