Eric, Fabian and Flynn shared a sum of money. The amount received by Fabian was
34 the amount of money received by Flynn. After Eric had given $54 to Fabian and $20 to Flynn, Fabian gave $5 to Flynn. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Eric and Fabian had at first.
|
Eric |
Fabian |
Flynn |
Before |
3 u + 123 |
3 u |
4 u |
Change 1 |
- 54 |
+ 54 |
|
Change 2 |
- 20 |
|
+ 20 |
Change 3 |
|
- 5 |
+ 5 |
After |
3 u + 49 |
3 u + 49 |
4 u + 25 |
Amount that Fabian had in the end = 3 u + 49
Amount that Flynn had in the end = 4 u + 25
Amount that Eric had at first
= 3 u + 49 + 54 + 20
= 3 u + 123
Amount that Fabian and Flynn had in the end is the same.
3 u + 49 = 4 u + 25
4 u - 3 u = 49 - 25
1 u = 24
Amount that Eric and Fabian had in the end is the same.
Amount that Eric had in the end
= 3 u + 49
= 3 x 24 + 49
= 72 + 49
= $121
Amount that Eric had at first
= 121 + 54 + 20
= $195
Difference in the amounts between Eric and Fabian at first
= 195 - 72
= $123
Answer(s): $123