Peter had $200 more than Tom at first. Peter gave $50 to Tom. As a result, Tom has
35 as much money as Peter. How much money had each of them at first?
- Peter
- Tom
| |
Peter |
Tom |
More |
| Before |
5 u + $50 |
3 u - $50 |
$200 |
| Change |
- $50 |
+ $50 |
|
| After |
5 u |
3 u |
|
(a)
Peter had $200 more than Tom at first. If Tom received another $200, Peter and Tom would have the same amount at first.
5 u + 50 = 3 u - 50 + 200
5 u + 50 = 3 u + 150
5 u - 3 u = 150 - 50
2 u = 100
1 u = 100 ÷ 2 = 50
Amount that Peter had at first
= 5 u + 50
= 5 x 50 + 50
= 250 + 50
= $300
(b)
Amount that Tom had at first
= 3 u - 50
= 3 x 50 - 50
= 150 - 50
= $100
Answer(s): (a) $300; (b) $100
