Cole saves 25% of his allowance. When his allowance was decreased by 40%, his savings decreased proportionately to $165. What was his original allowance?
| |
Savings |
Spending |
Total |
| Before |
25% |
75% |
100% |
| Change |
- 10% |
- 30% |
- 40% |
| After |
15% |
45% |
60% |
New allowance after it was decreased by 40%
= 100% - 40%
= 60%
Decrease in savings
= 40% x 25%
=
40100 x 25%
= 10%
New savings in percentage
= 25% - 10%
= 15%
15% of the original allowance = 165
1% of the original allowance = 165 ÷ 15 = 11
100% of the original allowance = 10 x 11 = 1100
Cole's original allowance = $1100
Answer(s): $1100
