Jack had $240 more than Zane at first. Jack gave $90 to Zane. As a result, Zane has
57 as much money as Jack. How much money had each of them at first?
- Jack
- Zane
| |
Jack |
Zane |
More |
| Before |
7 u + $90 |
5 u - $90 |
$240 |
| Change |
- $90 |
+ $90 |
|
| After |
7 u |
5 u |
|
(a)
Jack had $240 more than Zane at first. If Zane received another $240, Jack and Zane would have the same amount at first.
7 u + 90 = 5 u - 90 + 240
7 u + 90 = 5 u + 150
7 u - 5 u = 150 - 90
2 u = 60
1 u = 60 ÷ 2 = 30
Amount that Jack had at first
= 7 u + 90
= 7 x 30 + 90
= 210 + 90
= $300
(b)
Amount that Zane had at first
= 5 u - 90
= 5 x 30 - 90
= 150 - 90
= $60
Answer(s): (a) $300; (b) $60
