Luke had $165 and his brother had $36 at first. After they received an equal amount of allowance, Luke had twice as much money as his brother. How much allowance did each of them receive?
| |
Luke |
His brother |
Difference |
| Before |
$165 |
$36 |
$129 |
| Change |
+ ? |
+ ? |
|
| After |
2 u |
1 u |
1 u |
The difference in the amounts between Luke and his brother at first and in the end remains unchanged after each received an equal amount of allowance.
Difference in the amounts between Perry and his brother
= 2 u - 1 u
= 1 u
1 u = 129
Allowance that each of them received
= 1 u - 36
= 129 - 36
= $93
Answer(s): $93
