Adam receives his allowance of $350.
The ratio of Adam's spending to Adam's saving is 6 : 1.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 4.
- How much does Adam save?
- How much less does Adam spend on food than other expenses?
Spending |
Saving |
6 x 5 |
1 x 5 |
Food |
Other expenses |
|
1 x 6 |
4 x 6 |
|
6 u |
24 u |
5 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 6 and 5.
LCM of 6 and 5 = 30
Total allowance
= 5 u + 30 u
= 35 u
35 u = 350
1 u = 350 ÷ 35 = 10
Amount that Adam saves
= 5 u
= 5 x 10
= $50
(b)
Amount that Adam spends less on food than other expenses
= 24 u - 6 u
= 18 u
= 18 x 10
= $180
Answer(s): (a) $50; (b) $180