Billy had $200 more than Harry at first. Billy gave $60 to Harry. As a result, Harry has
35 as much money as Billy. How much money had each of them at first?
- Billy
- Harry
| |
Billy |
Harry |
More |
| Before |
5 u + $60 |
3 u - $60 |
$200 |
| Change |
- $60 |
+ $60 |
|
| After |
5 u |
3 u |
|
(a)
Billy had $200 more than Harry at first. If Harry received another $200, Billy and Harry would have the same amount at first.
5 u + 60 = 3 u - 60 + 200
5 u + 60 = 3 u + 140
5 u - 3 u = 140 - 60
2 u = 80
1 u = 80 ÷ 2 = 40
Amount that Billy had at first
= 5 u + 60
= 5 x 40 + 60
= 200 + 60
= $260
(b)
Amount that Harry had at first
= 3 u - 60
= 3 x 40 - 60
= 120 - 60
= $60
Answer(s): (a) $260; (b) $60
