John, Brandon and Zeph shared a sum of money. The amount received by Brandon was ⁵₆ the amount of money received by Zeph. After John had given $55 to Brandon and $21 to Zeph, Brandon gave $2 to Zeph. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that John and Brandon had at first.

	John	Brandon	Zeph
Before	5 u + 129	5 u	6 u
Change 1	- 55	+ 55
Change 2	- 21		+ 21
Change 3		- 2	+ 2
After	5 u + 53	5 u + 53	6 u + 23

Amount that Brandon had in the end = 5 u + 53 

Amount that Zeph had in the end = 6 u + 23

Amount that John had at first 
= 5 u + 53 + 55 + 21
= 5 u + 129

Amount that Brandon and Zeph had in the end is the same.

5 u + 53 = 6 u + 23
6 u - 5 u = 53 - 23

1 u = 30

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

Amount that John had in the end
= 5 u + 53
= 5 x 30 + 53
= 150 + 53
= $203

Amount that John had at first
= 203 + 55 + 21
= $279

Difference in the amounts between John and Brandon at first
= 279 - 150
= $129

Answer(s): $129