Vincent, Dylan and Harry shared a sum of money. The amount received by Dylan was ³₄ the amount of money received by Harry. After Vincent had given $48 to Dylan and $29 to Harry, Dylan gave $4 to Harry. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Vincent and Dylan had at first.

	Vincent	Dylan	Harry
Before	3 u + 121	3 u	4 u
Change 1	- 48	+ 48
Change 2	- 29		+ 29
Change 3		- 4	+ 4
After	3 u + 44	3 u + 44	4 u + 33

Amount that Dylan had in the end = 3 u + 44 

Amount that Harry had in the end = 4 u + 33

Amount that Vincent had at first 
= 3 u + 44 + 48 + 29
= 3 u + 121

Amount that Dylan and Harry had in the end is the same.

3 u + 44 = 4 u + 33
4 u - 3 u = 44 - 33

1 u = 11

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

Amount that Vincent had in the end
= 3 u + 44
= 3 x 11 + 44
= 33 + 44
= $77

Amount that Vincent had at first
= 77 + 48 + 29
= $154

Difference in the amounts between Vincent and Dylan at first
= 154 - 33
= $121

Answer(s): $121