Zane, Ben and Japheth shared a sum of money. The amount received by Ben was ⁵₆ the amount of money received by Japheth. After Zane had given $55 to Ben and $27 to Japheth, Ben gave $5 to Japheth. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Zane and Ben had at first.

	Zane	Ben	Japheth
Before	5 u + 132	5 u	6 u
Change 1	- 55	+ 55
Change 2	- 27		+ 27
Change 3		- 5	+ 5
After	5 u + 50	5 u + 50	6 u + 32

Amount that Ben had in the end = 5 u + 50 

Amount that Japheth had in the end = 6 u + 32

Amount that Zane had at first 
= 5 u + 50 + 55 + 27
= 5 u + 132

Amount that Ben and Japheth had in the end is the same.

5 u + 50 = 6 u + 32
6 u - 5 u = 50 - 32

1 u = 18

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

Amount that Zane had in the end
= 5 u + 50
= 5 x 18 + 50
= 90 + 50
= $140

Amount that Zane had at first
= 140 + 55 + 27
= $222

Difference in the amounts between Zane and Ben at first
= 222 - 90
= $132

Answer(s): $132