Ryan saves 20% of his allowance. When his allowance was decreased by 5%, his savings decreased proportionately to $133. What was his original allowance?
|
Savings |
Spending |
Total |
Before |
20% |
80% |
100% |
Change |
- 1% |
- 4% |
- 5% |
After |
19% |
76% |
95% |
New allowance after it was decreased by 5%
= 100% - 5%
= 95%
Decrease in savings
= 5% x 20%
=
5100 x 20%
= 1%
New savings in percentage
= 20% - 1%
= 19%
19% of the original allowance = 133
1% of the original allowance = 133 ÷ 19 = 7
100% of the original allowance = 10 x 7 = 700
Ryan's original allowance = $700
Answer(s): $700