Adam receives his allowance of $360.
The ratio of Adam's spending to Adam's saving is 7 : 5.
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 |
5 x 6 |
Food |
Other expenses |
|
1 x 7 |
5 x 7 |
|
7 u |
35 u |
30 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
= 30 u + 42 u
= 72 u
72 u = 360
1 u = 360 ÷ 72 = 5
Amount that Adam saves
= 30 u
= 30 x 5
= $150
(b)
Amount that Adam spends more on other expenses than food
= 35 u - 7 u
= 28 u
= 28 x 5
= $140
Answer(s): (a) $150; (b) $140