Valen had $280 more than Reggie at first. Valen gave $90 to Reggie. As a result, Reggie has
35 as much money as Valen. How much money had each of them at first?
- Valen
- Reggie
|
Valen |
Reggie |
More |
Before |
5 u + $90 |
3 u - $90 |
$280 |
Change |
- $90 |
+ $90 |
|
After |
5 u |
3 u |
|
(a)
Valen had $280 more than Reggie at first. If Reggie received another $280, Valen and Reggie would have the same amount at first.
5 u + 90 = 3 u - 90 + 280
5 u + 90 = 3 u + 190
5 u - 3 u = 190 - 90
2 u = 100
1 u = 100 ÷ 2 = 50
Amount that Valen had at first
= 5 u + 90
= 5 x 50 + 90
= 250 + 90
= $340
(b)
Amount that Reggie had at first
= 3 u - 90
= 3 x 50 - 90
= 150 - 90
= $60
Answer(s): (a) $340; (b) $60