Ethan had five times as much money as Olivia. After Ethan had given Olivia $146, they had an equal amount of money left. How much money did each of them have at first?
- Olivia
- Ethan
|
Olivia |
Ethan |
Before |
1 u |
5 u |
Change |
+ $146 |
- $146 |
After |
1 u + $146 |
5 u - $146 |
The amounts that Ethan and Olivia had in the end are the same.
5 u - 146 = 1 u + 146
5 u - 1 u = 146 + 146
4 u = 292
1 u = 292 ÷ 4 = 73
Amount that Olivia had at first
= 1 u
= $73
Amount that Ethan had at first
= 5 u
= 5 x 73
= $365
Answer(s): (a) $73; (b) $365