Adam spends $600 of his income and saves the rest.
When he increases his savings by 40%, his spending decreases by 30%
- 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 |
+ 40% |
- 30 u |
After |
140% |
70 u |
(a)
40% of Adam's savings = 30% of Adam's spending
100% of Adam's savings = $600
1% of Adam's savings = 600 ÷ 100 = $6
40% of Adam's savings = 40 x 6 = $240
30 u of Adam's spending = $240
1 u of Adam's spending = 240 ÷ 30 = $8
100 u of Adam's spending = 100 x 8 = $800
Amount of Adam's spending at first
= 100 u
= $800
(b)
Amount of spending in the end
= 70 u
= 70 x 8
= $560
(c)
Adam's income
= 100% + 100 u
= 600 + 800
= $1400
Answer(s): (a) $800; (b) $560; (c) $1400