Glen saves 10% of his allowance. When his allowance was decreased by 40%, his savings decreased proportionately to $108. What was his original allowance?
| |
Savings |
Spending |
Total |
| Before |
10% |
90% |
100% |
| Change |
- 4% |
- 36% |
- 40% |
| After |
6% |
54% |
60% |
New allowance after it was decreased by 40%
= 100% - 40%
= 60%
Decrease in savings
= 40% x 10%
=
40100 x 10%
= 4%
New savings in percentage
= 10% - 4%
= 6%
6% of the original allowance = 108
1% of the original allowance = 108 ÷ 6 = 18
100% of the original allowance = 10 x 18 = 1800
Glen's original allowance = $1800
Answer(s): $1800
