Adam receives his allowance of $440.
The ratio of Adam's spending to Adam's saving is 3 : 1.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 10.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
3 x 11 |
1 x 11 |
Food |
Other expenses |
|
1 x 3 |
10 x 3 |
|
3 u |
30 u |
11 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 3 and 11.
LCM of 3 and 11 = 33
Total allowance
= 11 u + 33 u
= 44 u
44 u = 440
1 u = 440 ÷ 44 = 10
Amount that Adam saves
= 11 u
= 11 x 10
= $110
(b)
Amount that Adam spends more on other expenses than food
= 30 u - 3 u
= 27 u
= 27 x 10
= $270
Answer(s): (a) $110; (b) $270