Zane, Perry and John shared a sum of money. The amount received by Perry was ⁴₅ the amount of money received by John. After Zane had given $46 to Perry and $21 to John, Perry gave $5 to John. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Zane and Perry had at first.

	Zane	Perry	John
Before	4 u + 108	4 u	5 u
Change 1	- 46	+ 46
Change 2	- 21		+ 21
Change 3		- 5	+ 5
After	4 u + 41	4 u + 41	5 u + 26

Amount that Perry had in the end = 4 u + 41 

Amount that John had in the end = 5 u + 26

Amount that Zane had at first 
= 4 u + 41 + 46 + 21
= 4 u + 108

Amount that Perry and John had in the end is the same.

4 u + 41 = 5 u + 26
5 u - 4 u = 41 - 26

1 u = 15

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

Amount that Zane had in the end
= 4 u + 41
= 4 x 15 + 41
= 60 + 41
= $101

Amount that Zane had at first
= 101 + 46 + 21
= $168

Difference in the amounts between Zane and Perry at first
= 168 - 60
= $108

Answer(s): $108