Ryan had $300 more than Jenson at first. Ryan gave $60 to Jenson. As a result, Jenson has
35 as much money as Ryan. How much money had each of them at first?
- Ryan
- Jenson
| |
Ryan |
Jenson |
More |
| Before |
5 u + $60 |
3 u - $60 |
$300 |
| Change |
- $60 |
+ $60 |
|
| After |
5 u |
3 u |
|
(a)
Ryan had $300 more than Jenson at first. If Jenson received another $300, Ryan and Jenson would have the same amount at first.
5 u + 60 = 3 u - 60 + 300
5 u + 60 = 3 u + 240
5 u - 3 u = 240 - 60
2 u = 180
1 u = 180 ÷ 2 = 90
Amount that Ryan had at first
= 5 u + 60
= 5 x 90 + 60
= 450 + 60
= $510
(b)
Amount that Jenson had at first
= 3 u - 60
= 3 x 90 - 60
= 270 - 60
= $210
Answer(s): (a) $510; (b) $210
