Liam had $148 more than Luke. After Luke gave $123 to Liam, Liam had 3 times as much money as Luke. How much money did Liam have at first?
| |
Liam |
Luke |
Comparing between
Liam and Luke
at first |
$148 more |
|
| Before |
3 u - $123 |
1 u + $123 |
| Change |
+ $123 |
- $123 |
| After |
3 u |
1 u |
Liam had $148 more than Luke at first. If Luke had another $148 at first, both of them would had the same amount of money.
3 u - 123 = 1 u + 123 + 148
3 u - 123 = 1 u + 271
3 u - 1 u = 123 + 271
2 u = 394
1 u = 394 ÷ 2 = 197
Amount that Liam had at first
= 3 u - 123
= 3 x 197 - 123
= 591 - 123
= $468
Answer(s): $468
