Adam receives his allowance of $405.
The ratio of Adam's spending to Adam's saving is 2 : 1.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 8.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
2 x 9 |
1 x 9 |
Food |
Other expenses |
|
1 x 2 |
8 x 2 |
|
2 u |
16 u |
9 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 2 and 9.
LCM of 2 and 9 = 18
Total allowance
= 9 u + 18 u
= 27 u
27 u = 405
1 u = 405 ÷ 27 = 15
Amount that Adam saves
= 9 u
= 9 x 15
= $135
(b)
Amount that Adam spends more on other expenses than food
= 16 u - 2 u
= 14 u
= 14 x 15
= $210
Answer(s): (a) $135; (b) $210