Adam receives his allowance of $444.
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 3 : 5.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
2 x 4 |
1 x 4 |
Food |
Other expenses |
|
3 x 1 |
5 x 1 |
|
3 u |
5 u |
4 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 2 and 8.
LCM of 2 and 8 = 8
Total allowance
= 4 u + 8 u
= 12 u
12 u = 444
1 u = 444 ÷ 12 = 37
Amount that Adam saves
= 4 u
= 4 x 37
= $148
(b)
Amount that Adam spends less on food than other expenses
= 5 u - 3 u
= 2 u
= 2 x 37
= $74
Answer(s): (a) $148; (b) $74