Bobby saves 40% of his allowance. When his allowance was decreased by 20%, his savings decreased proportionately to $64. What was his original allowance?
|
Savings |
Spending |
Total |
Before |
40% |
60% |
100% |
Change |
- 8% |
- 12% |
- 20% |
After |
32% |
48% |
80% |
New allowance after it was decreased by 20%
= 100% - 20%
= 80%
Decrease in savings
= 20% x 40%
=
20100 x 40%
= 8%
New savings in percentage
= 40% - 8%
= 32%
32% of the original allowance = 64
1% of the original allowance = 64 ÷ 32 = 2
100% of the original allowance = 10 x 2 = 200
Bobby's original allowance = $200
Answer(s): $200