Mark, Ethan and Lee shared a sum of money. The amount received by Ethan was ⁴₅ the amount of money received by Lee. After Mark had given $44 to Ethan and $22 to Lee, Ethan gave $7 to Lee. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Mark and Ethan had at first.

	Mark	Ethan	Lee
Before	4 u + 103	4 u	5 u
Change 1	- 44	+ 44
Change 2	- 22		+ 22
Change 3		- 7	+ 7
After	4 u + 37	4 u + 37	5 u + 29

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

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

Amount that Mark had at first 
= 4 u + 37 + 44 + 22
= 4 u + 103

Amount that Ethan and Lee had in the end is the same.

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

1 u = 8

Amount that Mark and Ethan had in the end is the same.

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

Amount that Mark had at first
= 69 + 44 + 22
= $135

Difference in the amounts between Mark and Ethan at first
= 135 - 32
= $103

Answer(s): $103