Adam spends $700 of his income and saves the rest.
When he increases his spending by 30%, his savings decreases by 35%
- How much is Adam's savings at first?
- How much is Adam's savings in the end?
- How much is Adam's income?
|
Spending |
Savings |
Before |
100% |
100 u |
Change |
+ 30% |
- 35 u |
After |
130% |
65 u |
(a)
30% of Adam's spending = 35% of Adam's savings
100% of Adam's spending = $700
1% of Adam's spending = 700 ÷ 100 = $7
30% of Adam's spending = 30 x 7 = $210
35 u of Adam's savings = $210
1 u of Adam's savings = 210 ÷ 35 = $6
100 u of Adam's savings = 100 x 6 = $600
Amount of Adam's savings at first
= 100 u
= $600
(b)
Amount of savings in the end
= 65 u
= 65 x 6
= $390
(c)
Adam's income
= 100% + 100 u
= 700 + 600
= $1300
Answer(s): (a) $600; (b) $390; (c) $1300