Billy had $240 more than Rael at first. Billy gave $50 to Rael. As a result, Rael has
57 as much money as Billy. How much money had each of them at first?
- Billy
- Rael
| |
Billy |
Rael |
More |
| Before |
7 u + $50 |
5 u - $50 |
$240 |
| Change |
- $50 |
+ $50 |
|
| After |
7 u |
5 u |
|
(a)
Billy had $240 more than Rael at first. If Rael received another $240, Billy and Rael would have the same amount at first.
7 u + 50 = 5 u - 50 + 240
7 u + 50 = 5 u + 190
7 u - 5 u = 190 - 50
2 u = 140
1 u = 140 ÷ 2 = 70
Amount that Billy had at first
= 7 u + 50
= 7 x 70 + 50
= 490 + 50
= $540
(b)
Amount that Rael had at first
= 5 u - 50
= 5 x 70 - 50
= 350 - 50
= $300
Answer(s): (a) $540; (b) $300
