Jeremy had $160 more than Billy at first. Jeremy gave $30 to Billy. As a result, Billy has
35 as much money as Jeremy. How much money had each of them at first?
- Jeremy
- Billy
| |
Jeremy |
Billy |
More |
| Before |
5 u + $30 |
3 u - $30 |
$160 |
| Change |
- $30 |
+ $30 |
|
| After |
5 u |
3 u |
|
(a)
Jeremy had $160 more than Billy at first. If Billy received another $160, Jeremy and Billy would have the same amount at first.
5 u + 30 = 3 u - 30 + 160
5 u + 30 = 3 u + 130
5 u - 3 u = 130 - 30
2 u = 100
1 u = 100 ÷ 2 = 50
Amount that Jeremy had at first
= 5 u + 30
= 5 x 50 + 30
= 250 + 30
= $280
(b)
Amount that Billy had at first
= 3 u - 30
= 3 x 50 - 30
= 150 - 30
= $120
Answer(s): (a) $280; (b) $120
