Adam receives his allowance of $495.
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 3 : 7.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
6 x 5 |
5 x 5 |
Food |
Other expenses |
|
3 x 3 |
7 x 3 |
|
9 u |
21 u |
25 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 6 and 10.
LCM of 6 and 10 = 30
Total allowance
= 25 u + 30 u
= 55 u
55 u = 495
1 u = 495 ÷ 55 = 9
Amount that Adam saves
= 25 u
= 25 x 9
= $225
(b)
Amount that Adam spends more on other expenses than food
= 21 u - 9 u
= 12 u
= 12 x 9
= $108
Answer(s): (a) $225; (b) $108