Pierre saves 5% of his allowance. When his allowance was decreased by 20%, his savings decreased proportionately to $64. What was his original allowance?
| |
Savings |
Spending |
Total |
| Before |
5% |
95% |
100% |
| Change |
- 1% |
- 19% |
- 20% |
| After |
4% |
76% |
80% |
New allowance after it was decreased by 20%
= 100% - 20%
= 80%
Decrease in savings
= 20% x 5%
=
20100 x 5%
= 1%
New savings in percentage
= 5% - 1%
= 4%
4% of the original allowance = 64
1% of the original allowance = 64 ÷ 4 = 16
100% of the original allowance = 10 x 16 = 1600
Pierre's original allowance = $1600
Answer(s): $1600
