Vincent, Ken and Elijah shared a sum of money. The amount received by Ken was ⁴₅ the amount of money received by Elijah. After Vincent had given $41 to Ken and $25 to Elijah, Ken gave $4 to Elijah. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Vincent and Ken had at first.

	Vincent	Ken	Elijah
Before	4 u + 103	4 u	5 u
Change 1	- 41	+ 41
Change 2	- 25		+ 25
Change 3		- 4	+ 4
After	4 u + 37	4 u + 37	5 u + 29

Amount that Ken had in the end = 4 u + 37 

Amount that Elijah had in the end = 5 u + 29

Amount that Vincent had at first 
= 4 u + 37 + 41 + 25
= 4 u + 103

Amount that Ken and Elijah had in the end is the same.

4 u + 37 = 5 u + 29
5 u - 4 u = 37 - 29

1 u = 8

Amount that Vincent and Ken had in the end is the same.

Amount that Vincent had in the end
= 4 u + 37
= 4 x 8 + 37
= 32 + 37
= $69

Amount that Vincent had at first
= 69 + 41 + 25
= $135

Difference in the amounts between Vincent and Ken at first
= 135 - 32
= $103

Answer(s): $103