Elijah saves 10% of his allowance. When his allowance was decreased by 30%, his savings decreased proportionately to $140. What was his original allowance?
| |
Savings |
Spending |
Total |
| Before |
10% |
90% |
100% |
| Change |
- 3% |
- 27% |
- 30% |
| After |
7% |
63% |
70% |
New allowance after it was decreased by 30%
= 100% - 30%
= 70%
Decrease in savings
= 30% x 10%
=
30100 x 10%
= 3%
New savings in percentage
= 10% - 3%
= 7%
7% of the original allowance = 140
1% of the original allowance = 140 ÷ 7 = 20
100% of the original allowance = 10 x 20 = 2000
Elijah's original allowance = $2000
Answer(s): $2000
