Adam receives his allowance of $312.
The ratio of Adam's spending to Adam's saving is 7 : 6.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 5.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
7 x 6 |
6 x 6 |
Food |
Other expenses |
|
1 x 7 |
5 x 7 |
|
7 u |
35 u |
36 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 7 and 6.
LCM of 7 and 6 = 42
Total allowance
= 36 u + 42 u
= 78 u
78 u = 312
1 u = 312 ÷ 78 = 4
Amount that Adam saves
= 36 u
= 36 x 4
= $144
(b)
Amount that Adam spends more on other expenses than food
= 35 u - 7 u
= 28 u
= 28 x 4
= $112
Answer(s): (a) $144; (b) $112