Gabriel saves 10% of his allowance. When his allowance was increased by 50%, his savings rose proportionately to $180. What was his original allowance?
| |
Savings |
Spending |
Total |
| Before |
10% |
90% |
100% |
| Change |
+ 5% |
+ 45% |
+ 50% |
| After |
15% |
135% |
150% |
New allowance after it was increased by 50%
= 100% + 50%
= 150%
Increase in savings
= 50% x 10%
=
50100 x 10%
= 5%
New savings in percentage
= 10% + 5%
= 15%
15% of the original allowance = 180
1% of the original allowance = 180 ÷ 15 = 12
100% of the original allowance = 100 x 12 = 1200
Gabriel's original allowance = $1200
Answer(s): $1200
