Billy, Flynn and Paul shared a sum of money. The amount received by Flynn was ⁵₆ the amount of money received by Paul. After Billy had given $46 to Flynn and $21 to Paul, Flynn gave $7 to Paul. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Billy and Flynn had at first.

	Billy	Flynn	Paul
Before	5 u + 106	5 u	6 u
Change 1	- 46	+ 46
Change 2	- 21		+ 21
Change 3		- 7	+ 7
After	5 u + 39	5 u + 39	6 u + 28

Amount that Flynn had in the end = 5 u + 39 

Amount that Paul had in the end = 6 u + 28

Amount that Billy had at first 
= 5 u + 39 + 46 + 21
= 5 u + 106

Amount that Flynn and Paul had in the end is the same.

5 u + 39 = 6 u + 28
6 u - 5 u = 39 - 28

1 u = 11

Amount that Billy and Flynn had in the end is the same.

Amount that Billy had in the end
= 5 u + 39
= 5 x 11 + 39
= 55 + 39
= $94

Amount that Billy had at first
= 94 + 46 + 21
= $161

Difference in the amounts between Billy and Flynn at first
= 161 - 55
= $106

Answer(s): $106