Riordan had $156 more than Luke. After Luke gave $123 to Riordan, Riordan had 3 times as much money as Luke. How much money did Riordan have at first?
| |
Riordan |
Luke |
Comparing between
Riordan and Luke
at first |
$156 more |
|
| Before |
3 u - $123 |
1 u + $123 |
| Change |
+ $123 |
- $123 |
| After |
3 u |
1 u |
Riordan had $156 more than Luke at first. If Luke had another $156 at first, both of them would had the same amount of money.
3 u - 123 = 1 u + 123 + 156
3 u - 123 = 1 u + 279
3 u - 1 u = 123 + 279
2 u = 402
1 u = 402 ÷ 2 = 201
Amount that Riordan had at first
= 3 u - 123
= 3 x 201 - 123
= 603 - 123
= $480
Answer(s): $480
