Tommy saves 20% of his allowance. When his allowance was decreased by 30%, his savings decreased proportionately to $84. What was his original allowance?
| |
Savings |
Spending |
Total |
| Before |
20% |
80% |
100% |
| Change |
- 6% |
- 24% |
- 30% |
| After |
14% |
56% |
70% |
New allowance after it was decreased by 30%
= 100% - 30%
= 70%
Decrease in savings
= 30% x 20%
=
30100 x 20%
= 6%
New savings in percentage
= 20% - 6%
= 14%
14% of the original allowance = 84
1% of the original allowance = 84 ÷ 14 = 6
100% of the original allowance = 10 x 6 = 600
Tommy's original allowance = $600
Answer(s): $600
