Rael had $260 more than Zane at first. Rael gave $10 to Zane. As a result, Zane has
47 as much money as Rael. How much money had each of them at first?
- Rael
- Zane
| |
Rael |
Zane |
More |
| Before |
7 u + $10 |
4 u - $10 |
$260 |
| Change |
- $10 |
+ $10 |
|
| After |
7 u |
4 u |
|
(a)
Rael had $260 more than Zane at first. If Zane received another $260, Rael and Zane would have the same amount at first.
7 u + 10 = 4 u - 10 + 260
7 u + 10 = 4 u + 250
7 u - 4 u = 250 - 10
3 u = 240
1 u = 240 ÷ 3 = 80
Amount that Rael had at first
= 7 u + 10
= 7 x 80 + 10
= 560 + 10
= $570
(b)
Amount that Zane had at first
= 4 u - 10
= 4 x 80 - 10
= 320 - 10
= $310
Answer(s): (a) $570; (b) $310
