Ivan had $220 more than Archie at first. Ivan gave $30 to Archie. As a result, Archie has
57 as much money as Ivan. How much money had each of them at first?
- Ivan
- Archie
| |
Ivan |
Archie |
More |
| Before |
7 u + $30 |
5 u - $30 |
$220 |
| Change |
- $30 |
+ $30 |
|
| After |
7 u |
5 u |
|
(a)
Ivan had $220 more than Archie at first. If Archie received another $220, Ivan and Archie would have the same amount at first.
7 u + 30 = 5 u - 30 + 220
7 u + 30 = 5 u + 190
7 u - 5 u = 190 - 30
2 u = 160
1 u = 160 ÷ 2 = 80
Amount that Ivan had at first
= 7 u + 30
= 7 x 80 + 30
= 560 + 30
= $590
(b)
Amount that Archie had at first
= 5 u - 30
= 5 x 80 - 30
= 400 - 30
= $370
Answer(s): (a) $590; (b) $370
