Will had $190 more than Fred at first. Will gave $20 to Fred. As a result, Fred has
27 as much money as Will. How much money had each of them at first?
- Will
- Fred
| |
Will |
Fred |
More |
| Before |
7 u + $20 |
2 u - $20 |
$190 |
| Change |
- $20 |
+ $20 |
|
| After |
7 u |
2 u |
|
(a)
Will had $190 more than Fred at first. If Fred received another $190, Will and Fred would have the same amount at first.
7 u + 20 = 2 u - 20 + 190
7 u + 20 = 2 u + 170
7 u - 2 u = 170 - 20
5 u = 150
1 u = 150 ÷ 5 = 30
Amount that Will had at first
= 7 u + 20
= 7 x 30 + 20
= 210 + 20
= $230
(b)
Amount that Fred had at first
= 2 u - 20
= 2 x 30 - 20
= 60 - 20
= $40
Answer(s): (a) $230; (b) $40
