Zane had $460 more than Asher at first. Zane gave $80 to Asher. As a result, Asher has
47 as much money as Zane. How much money had each of them at first?
- Zane
- Asher
| |
Zane |
Asher |
More |
| Before |
7 u + $80 |
4 u - $80 |
$460 |
| Change |
- $80 |
+ $80 |
|
| After |
7 u |
4 u |
|
(a)
Zane had $460 more than Asher at first. If Asher received another $460, Zane and Asher would have the same amount at first.
7 u + 80 = 4 u - 80 + 460
7 u + 80 = 4 u + 380
7 u - 4 u = 380 - 80
3 u = 300
1 u = 300 ÷ 3 = 100
Amount that Zane had at first
= 7 u + 80
= 7 x 100 + 80
= 700 + 80
= $780
(b)
Amount that Asher had at first
= 4 u - 80
= 4 x 100 - 80
= 400 - 80
= $320
Answer(s): (a) $780; (b) $320
