Adam spends $600 of his income and saves the rest.
When he increases his savings by 30%, his spending decreases by 15%
- How much is Adam's spending at first?
- How much is Adam's spending in the end?
- How much is Adam's income?
| |
Savings |
Spending |
| Before |
100% |
100 u |
| Change |
+ 30% |
- 15 u |
| After |
130% |
85 u |
(a)
30% of Adam's savings = 15% of Adam's spending
100% of Adam's savings = $600
1% of Adam's savings = 600 ÷ 100 = $6
30% of Adam's savings = 30 x 6 = $180
15 u of Adam's spending = $180
1 u of Adam's spending = 180 ÷ 15 = $12
100 u of Adam's spending = 100 x 12 = $1200
Amount of Adam's spending at first
= 100 u
= $1200
(b)
Amount of spending in the end
= 85 u
= 85 x 12
= $1020
(c)
Adam's income
= 100% + 100 u
= 600 + 1200
= $1800
Answer(s): (a) $1200; (b) $1020; (c) $1800
