Ben had $480 more than Reggie at first. Ben gave $90 to Reggie. As a result, Reggie has
27 as much money as Ben. How much money had each of them at first?
- Ben
- Reggie
| |
Ben |
Reggie |
More |
| Before |
7 u + $90 |
2 u - $90 |
$480 |
| Change |
- $90 |
+ $90 |
|
| After |
7 u |
2 u |
|
(a)
Ben had $480 more than Reggie at first. If Reggie received another $480, Ben and Reggie would have the same amount at first.
7 u + 90 = 2 u - 90 + 480
7 u + 90 = 2 u + 390
7 u - 2 u = 390 - 90
5 u = 300
1 u = 300 ÷ 5 = 60
Amount that Ben had at first
= 7 u + 90
= 7 x 60 + 90
= 420 + 90
= $510
(b)
Amount that Reggie had at first
= 2 u - 90
= 2 x 60 - 90
= 120 - 90
= $30
Answer(s): (a) $510; (b) $30
