Ryan had $300 more than Andy at first. Ryan gave $100 to Andy. As a result, Andy has
57 as much money as Ryan. How much money had each of them at first?
- Ryan
- Andy
| |
Ryan |
Andy |
More |
| Before |
7 u + $100 |
5 u - $100 |
$300 |
| Change |
- $100 |
+ $100 |
|
| After |
7 u |
5 u |
|
(a)
Ryan had $300 more than Andy at first. If Andy received another $300, Ryan and Andy would have the same amount at first.
7 u + 100 = 5 u - 100 + 300
7 u + 100 = 5 u + 200
7 u - 5 u = 200 - 100
2 u = 100
1 u = 100 ÷ 2 = 50
Amount that Ryan had at first
= 7 u + 100
= 7 x 50 + 100
= 350 + 100
= $450
(b)
Amount that Andy had at first
= 5 u - 100
= 5 x 50 - 100
= 250 - 100
= $150
Answer(s): (a) $450; (b) $150
