Archie had $400 more than Gabriel at first. Archie gave $50 to Gabriel. As a result, Gabriel has
47 as much money as Archie. How much money had each of them at first?
- Archie
- Gabriel
| |
Archie |
Gabriel |
More |
| Before |
7 u + $50 |
4 u - $50 |
$400 |
| Change |
- $50 |
+ $50 |
|
| After |
7 u |
4 u |
|
(a)
Archie had $400 more than Gabriel at first. If Gabriel received another $400, Archie and Gabriel would have the same amount at first.
7 u + 50 = 4 u - 50 + 400
7 u + 50 = 4 u + 350
7 u - 4 u = 350 - 50
3 u = 300
1 u = 300 ÷ 3 = 100
Amount that Archie had at first
= 7 u + 50
= 7 x 100 + 50
= 700 + 50
= $750
(b)
Amount that Gabriel had at first
= 4 u - 50
= 4 x 100 - 50
= 400 - 50
= $350
Answer(s): (a) $750; (b) $350
