George had $390 more than Warren at first. George gave $60 to Warren. As a result, Warren has
58 as much money as George. How much money had each of them at first?
- George
- Warren
| |
George |
Warren |
More |
| Before |
8 u + $60 |
5 u - $60 |
$390 |
| Change |
- $60 |
+ $60 |
|
| After |
8 u |
5 u |
|
(a)
George had $390 more than Warren at first. If Warren received another $390, George and Warren would have the same amount at first.
8 u + 60 = 5 u - 60 + 390
8 u + 60 = 5 u + 330
8 u - 5 u = 330 - 60
3 u = 270
1 u = 270 ÷ 3 = 90
Amount that George had at first
= 8 u + 60
= 8 x 90 + 60
= 720 + 60
= $780
(b)
Amount that Warren had at first
= 5 u - 60
= 5 x 90 - 60
= 450 - 60
= $390
Answer(s): (a) $780; (b) $390
