Ivan had $300 more than Flynn at first. Ivan gave $30 to Flynn. As a result, Flynn has
47 as much money as Ivan. How much money had each of them at first?
- Ivan
- Flynn
| |
Ivan |
Flynn |
More |
| Before |
7 u + $30 |
4 u - $30 |
$300 |
| Change |
- $30 |
+ $30 |
|
| After |
7 u |
4 u |
|
(a)
Ivan had $300 more than Flynn at first. If Flynn received another $300, Ivan and Flynn would have the same amount at first.
7 u + 30 = 4 u - 30 + 300
7 u + 30 = 4 u + 270
7 u - 4 u = 270 - 30
3 u = 240
1 u = 240 ÷ 3 = 80
Amount that Ivan had at first
= 7 u + 30
= 7 x 80 + 30
= 560 + 30
= $590
(b)
Amount that Flynn had at first
= 4 u - 30
= 4 x 80 - 30
= 320 - 30
= $290
Answer(s): (a) $590; (b) $290
