Adam receives his allowance of $126.
The ratio of Adam's spending to Adam's saving is 5 : 4.
The ratio of Adam's spending on food to the remaining of other expenses is 2 : 5.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
5 x 7 |
4 x 7 |
Food |
Other expenses |
|
2 x 5 |
5 x 5 |
|
10 u |
25 u |
28 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 5 and 7.
LCM of 5 and 7 = 35
Total allowance
= 28 u + 35 u
= 63 u
63 u = 126
1 u = 126 ÷ 63 = 2
Amount that Adam saves
= 28 u
= 28 x 2
= $56
(b)
Amount that Adam spends more on other expenses than food
= 25 u - 10 u
= 15 u
= 15 x 2
= $30
Answer(s): (a) $56; (b) $30