Pierre had $285 and his cousin had $27 at first. After they received an equal amount of allowance, Pierre had thrice as much money as his cousin. How much allowance did each of them receive?
| |
Pierre |
His cousin |
Difference |
| Before |
$285 |
$27 |
$258 |
| Change |
+ ? |
+ ? |
|
| After |
3 u |
1 u |
2 u |
The difference in the amounts between Pierre and his cousin at first and in the end remains unchanged after each received an equal amount of allowance.
Difference in the amounts between Perry and his cousin
= 3 u - 1 u
= 2 u
2 u = 285 - 27
2 u = 258
1 u = 258 ÷ 2 = 129
Allowance that each of them received
= 1 u - 27
= 129 - 27
= $102
Answer(s): $102
