Lee had $220 more than Seth at first. Lee gave $40 to Seth. As a result, Seth has
35 as much money as Lee. How much money had each of them at first?
- Lee
- Seth
| |
Lee |
Seth |
More |
| Before |
5 u + $40 |
3 u - $40 |
$220 |
| Change |
- $40 |
+ $40 |
|
| After |
5 u |
3 u |
|
(a)
Lee had $220 more than Seth at first. If Seth received another $220, Lee and Seth would have the same amount at first.
5 u + 40 = 3 u - 40 + 220
5 u + 40 = 3 u + 180
5 u - 3 u = 180 - 40
2 u = 140
1 u = 140 ÷ 2 = 70
Amount that Lee had at first
= 5 u + 40
= 5 x 70 + 40
= 350 + 40
= $390
(b)
Amount that Seth had at first
= 3 u - 40
= 3 x 70 - 40
= 210 - 40
= $170
Answer(s): (a) $390; (b) $170
