Adam spends $500 of his income and saves the rest.
When he increases his savings by 35%, his spending decreases by 25%
- 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% |
- 25 u |
After |
135% |
75 u |
(a)
35% of Adam's savings = 25% of Adam's spending
100% of Adam's savings = $500
1% of Adam's savings = 500 ÷ 100 = $5
35% of Adam's savings = 35 x 5 = $175
25 u of Adam's spending = $175
1 u of Adam's spending = 175 ÷ 25 = $7
100 u of Adam's spending = 100 x 7 = $700
Amount of Adam's spending at first
= 100 u
= $700
(b)
Amount of spending in the end
= 75 u
= 75 x 7
= $525
(c)
Adam's income
= 100% + 100 u
= 500 + 700
= $1200
Answer(s): (a) $700; (b) $525; (c) $1200