Zane had $180 more than Bryan at first. Zane gave $60 to Bryan. As a result, Bryan has
35 as much money as Zane. How much money had each of them at first?
- Zane
- Bryan
| |
Zane |
Bryan |
More |
| Before |
5 u + $60 |
3 u - $60 |
$180 |
| Change |
- $60 |
+ $60 |
|
| After |
5 u |
3 u |
|
(a)
Zane had $180 more than Bryan at first. If Bryan received another $180, Zane and Bryan would have the same amount at first.
5 u + 60 = 3 u - 60 + 180
5 u + 60 = 3 u + 120
5 u - 3 u = 120 - 60
2 u = 60
1 u = 60 ÷ 2 = 30
Amount that Zane had at first
= 5 u + 60
= 5 x 30 + 60
= 150 + 60
= $210
(b)
Amount that Bryan had at first
= 3 u - 60
= 3 x 30 - 60
= 90 - 60
= $30
Answer(s): (a) $210; (b) $30
