Adam spends $800 of his income and saves the rest.
When he increases his savings by 35%, his spending decreases by 20%
- 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 |
+ 35% |
- 20 u |
After |
135% |
80 u |
(a)
35% of Adam's savings = 20% of Adam's spending
100% of Adam's savings = $800
1% of Adam's savings = 800 ÷ 100 = $8
35% of Adam's savings = 35 x 8 = $280
20 u of Adam's spending = $280
1 u of Adam's spending = 280 ÷ 20 = $14
100 u of Adam's spending = 100 x 14 = $1400
Amount of Adam's spending at first
= 100 u
= $1400
(b)
Amount of spending in the end
= 80 u
= 80 x 14
= $1120
(c)
Adam's income
= 100% + 100 u
= 800 + 1400
= $2200
Answer(s): (a) $1400; (b) $1120; (c) $2200