Adam spends $300 of his income and saves the rest.
When he increases his savings by 30%, his spending decreases by 5%
- 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% |
- 5 u |
After |
130% |
95 u |
(a)
30% of Adam's savings = 5% of Adam's spending
100% of Adam's savings = $300
1% of Adam's savings = 300 ÷ 100 = $3
30% of Adam's savings = 30 x 3 = $90
5 u of Adam's spending = $90
1 u of Adam's spending = 90 ÷ 5 = $18
100 u of Adam's spending = 100 x 18 = $1800
Amount of Adam's spending at first
= 100 u
= $1800
(b)
Amount of spending in the end
= 95 u
= 95 x 18
= $1710
(c)
Adam's income
= 100% + 100 u
= 300 + 1800
= $2100
Answer(s): (a) $1800; (b) $1710; (c) $2100