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

	Ben	Sean	Valen
Before	5 u + 110	5 u	6 u
Change 1	- 46	+ 46
Change 2	- 21		+ 21
Change 3		- 3	+ 3
After	5 u + 43	5 u + 43	6 u + 24

Amount that Sean had in the end = 5 u + 43 

Amount that Valen had in the end = 6 u + 24

Amount that Ben had at first 
= 5 u + 43 + 46 + 21
= 5 u + 110

Amount that Sean and Valen had in the end is the same.

5 u + 43 = 6 u + 24
6 u - 5 u = 43 - 24

1 u = 19

Amount that Ben and Sean had in the end is the same.

Amount that Ben had in the end
= 5 u + 43
= 5 x 19 + 43
= 95 + 43
= $138

Amount that Ben had at first
= 138 + 46 + 21
= $205

Difference in the amounts between Ben and Sean at first
= 205 - 95
= $110

Answer(s): $110