Flynn, Fabian and Warren shared a sum of money. The amount received by Fabian was
56 the amount of money received by Warren. After Flynn had given $49 to Fabian and $27 to Warren, Fabian gave $2 to Warren. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Flynn and Fabian had at first.
|
Flynn |
Fabian |
Warren |
Before |
5 u + 123 |
5 u |
6 u |
Change 1 |
- 49 |
+ 49 |
|
Change 2 |
- 27 |
|
+ 27 |
Change 3 |
|
- 2 |
+ 2 |
After |
5 u + 47 |
5 u + 47 |
6 u + 29 |
Amount that Fabian had in the end = 5 u + 47
Amount that Warren had in the end = 6 u + 29
Amount that Flynn had at first
= 5 u + 47 + 49 + 27
= 5 u + 123
Amount that Fabian and Warren had in the end is the same.
5 u + 47 = 6 u + 29
6 u - 5 u = 47 - 29
1 u = 18
Amount that Flynn and Fabian had in the end is the same.
Amount that Flynn had in the end
= 5 u + 47
= 5 x 18 + 47
= 90 + 47
= $137
Amount that Flynn had at first
= 137 + 49 + 27
= $213
Difference in the amounts between Flynn and Fabian at first
= 213 - 90
= $123
Answer(s): $123