Vincent had $540 more than Tom at first. Vincent gave $70 to Tom. As a result, Tom has
27 as much money as Vincent. How much money had each of them at first?
- Vincent
- Tom
| |
Vincent |
Tom |
More |
| Before |
7 u + $70 |
2 u - $70 |
$540 |
| Change |
- $70 |
+ $70 |
|
| After |
7 u |
2 u |
|
(a)
Vincent had $540 more than Tom at first. If Tom received another $540, Vincent and Tom would have the same amount at first.
7 u + 70 = 2 u - 70 + 540
7 u + 70 = 2 u + 470
7 u - 2 u = 470 - 70
5 u = 400
1 u = 400 ÷ 5 = 80
Amount that Vincent had at first
= 7 u + 70
= 7 x 80 + 70
= 560 + 70
= $630
(b)
Amount that Tom had at first
= 2 u - 70
= 2 x 80 - 70
= 160 - 70
= $90
Answer(s): (a) $630; (b) $90
