Ethan saves 40% of his allowance. When his allowance was decreased by 5%, his savings decreased proportionately to $190. What was his original allowance?
| |
Savings |
Spending |
Total |
| Before |
40% |
60% |
100% |
| Change |
- 2% |
- 3% |
- 5% |
| After |
38% |
57% |
95% |
New allowance after it was decreased by 5%
= 100% - 5%
= 95%
Decrease in savings
= 5% x 40%
=
5100 x 40%
= 2%
New savings in percentage
= 40% - 2%
= 38%
38% of the original allowance = 190
1% of the original allowance = 190 ÷ 38 = 5
100% of the original allowance = 10 x 5 = 500
Ethan's original allowance = $500
Answer(s): $500
