Adam receives his allowance of $196.
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 : 6.
- How much does Adam save?
- How much more does Adam spend on other expenses than food?
Spending |
Saving |
6 x 7 |
1 x 7 |
Food |
Other expenses |
|
1 x 6 |
6 x 6 |
|
6 u |
36 u |
7 u |
(a)
Adam's spending is the combined repeated identity.
Make the amount of spending the same using the LCM of 6 and 7.
LCM of 6 and 7 = 42
Total allowance
= 7 u + 42 u
= 49 u
49 u = 196
1 u = 196 ÷ 49 = 4
Amount that Adam saves
= 7 u
= 7 x 4
= $28
(b)
Amount that Adam spends more on other expenses than food
= 36 u - 6 u
= 30 u
= 30 x 4
= $120
Answer(s): (a) $28; (b) $120