Will had $460 more than Sam at first. Will gave $80 to Sam. As a result, Sam has
27 as much money as Will. How much money had each of them at first?
- Will
- Sam
| |
Will |
Sam |
More |
| Before |
7 u + $80 |
2 u - $80 |
$460 |
| Change |
- $80 |
+ $80 |
|
| After |
7 u |
2 u |
|
(a)
Will had $460 more than Sam at first. If Sam received another $460, Will and Sam would have the same amount at first.
7 u + 80 = 2 u - 80 + 460
7 u + 80 = 2 u + 380
7 u - 2 u = 380 - 80
5 u = 300
1 u = 300 ÷ 5 = 60
Amount that Will had at first
= 7 u + 80
= 7 x 60 + 80
= 420 + 80
= $500
(b)
Amount that Sam had at first
= 2 u - 80
= 2 x 60 - 80
= 120 - 80
= $40
Answer(s): (a) $500; (b) $40
