Gabriel had $340 more than Perry at first. Gabriel gave $70 to Perry. As a result, Perry has
35 as much money as Gabriel. How much money had each of them at first?
- Gabriel
- Perry
| |
Gabriel |
Perry |
More |
| Before |
5 u + $70 |
3 u - $70 |
$340 |
| Change |
- $70 |
+ $70 |
|
| After |
5 u |
3 u |
|
(a)
Gabriel had $340 more than Perry at first. If Perry received another $340, Gabriel and Perry would have the same amount at first.
5 u + 70 = 3 u - 70 + 340
5 u + 70 = 3 u + 270
5 u - 3 u = 270 - 70
2 u = 200
1 u = 200 ÷ 2 = 100
Amount that Gabriel had at first
= 5 u + 70
= 5 x 100 + 70
= 500 + 70
= $570
(b)
Amount that Perry had at first
= 3 u - 70
= 3 x 100 - 70
= 300 - 70
= $230
Answer(s): (a) $570; (b) $230
