Reggie saves 20% of his allowance. When his allowance was increased by 35%, his savings rose proportionately to $216. What was his original allowance?
|
Savings |
Spending |
Total |
Before |
20% |
80% |
100% |
Change |
+ 7% |
+ 28% |
+ 35% |
After |
27% |
108% |
135% |
New allowance after it was increased by 35%
= 100% + 35%
= 135%
Increase in savings
= 35% x 20%
=
35100 x 20%
= 7%
New savings in percentage
= 20% + 7%
= 27%
27% of the original allowance = 216
1% of the original allowance = 216 ÷ 27 = 8
100% of the original allowance = 100 x 8 = 800
Reggie's original allowance = $800
Answer(s): $800