Fabian had five times as much money as Olivia. After Fabian had given Olivia $194, they had an equal amount of money left. How much money did each of them have at first?
- Olivia
- Fabian
|
Olivia |
Fabian |
Before |
1 u |
5 u |
Change |
+ $194 |
- $194 |
After |
1 u + $194 |
5 u - $194 |
The amounts that Fabian and Olivia had in the end are the same.
5 u - 194 = 1 u + 194
5 u - 1 u = 194 + 194
4 u = 388
1 u = 388 ÷ 4 = 97
Amount that Olivia had at first
= 1 u
= $97
Amount that Fabian had at first
= 5 u
= 5 x 97
= $485
Answer(s): (a) $97; (b) $485