Ethan had $140 more than Oliver at first. Ethan gave $20 to Oliver. As a result, Oliver has
38 as much money as Ethan. How much money had each of them at first?
- Ethan
- Oliver
| |
Ethan |
Oliver |
More |
| Before |
8 u + $20 |
3 u - $20 |
$140 |
| Change |
- $20 |
+ $20 |
|
| After |
8 u |
3 u |
|
(a)
Ethan had $140 more than Oliver at first. If Oliver received another $140, Ethan and Oliver would have the same amount at first.
8 u + 20 = 3 u - 20 + 140
8 u + 20 = 3 u + 120
8 u - 3 u = 120 - 20
5 u = 100
1 u = 100 ÷ 5 = 20
Amount that Ethan had at first
= 8 u + 20
= 8 x 20 + 20
= 160 + 20
= $180
(b)
Amount that Oliver had at first
= 3 u - 20
= 3 x 20 - 20
= 60 - 20
= $40
Answer(s): (a) $180; (b) $40
