Dylan, Howard and Zane shared a sum of money. The amount received by Howard was ⁴₅ the amount of money received by Zane. After Dylan had given $54 to Howard and $20 to Zane, Howard gave $2 to Zane. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Dylan and Howard had at first.

	Dylan	Howard	Zane
Before	4 u + 126	4 u	5 u
Change 1	- 54	+ 54
Change 2	- 20		+ 20
Change 3		- 2	+ 2
After	4 u + 52	4 u + 52	5 u + 22

Amount that Howard had in the end = 4 u + 52 

Amount that Zane had in the end = 5 u + 22

Amount that Dylan had at first 
= 4 u + 52 + 54 + 20
= 4 u + 126

Amount that Howard and Zane had in the end is the same.

4 u + 52 = 5 u + 22
5 u - 4 u = 52 - 22

1 u = 30

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

Amount that Dylan had in the end
= 4 u + 52
= 4 x 30 + 52
= 120 + 52
= $172

Amount that Dylan had at first
= 172 + 54 + 20
= $246

Difference in the amounts between Dylan and Howard at first
= 246 - 120
= $126

Answer(s): $126