Adam receives his allowance of $405.
The ratio of Adam's spending to Adam's saving is 8 : 1.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 5.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
8 x 3 |
1 x 3 |
Food |
Other expenses |
|
1 x 4 |
5 x 4 |
|
4 u |
20 u |
3 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 8 and 6.
LCM of 8 and 6 = 24
Total allowance
= 3 u + 24 u
= 27 u
27 u = 405
1 u = 405 ÷ 27 = 15
Amount that Adam saves
= 3 u
= 3 x 15
= $45
(b)
Amount that Adam spends less on food than other expenses
= 20 u - 4 u
= 16 u
= 16 x 15
= $240
Answer(s): (a) $45; (b) $240