David saved $160 and spent the rest of his money. If he decreased his savings by 10%, his spending would increase by 32%. How much money did David have?
| |
Spent (%) |
Saved (u) |
| Before |
100%
$160 |
100u |
| Change |
- 10% |
+ 32u |
| After |
90% |
132u |
Increase in savings = Decrease in spending
10% savings =
32u spending 100% savings = 160
1% savings = 160 ÷ 100 = 1.6
10% savings = 10 x 1.6 = 16
32u spending = 161u spending = 16 ÷ 32 = 0.5100u spending = 100 x 0.5 = 50 Amount that David had
= 160 + 50
= $210
Answer(s): $210
