Zane, Gabriel and Ahmad shared a sum of money. The amount received by Gabriel was ⁵₆ the amount of money received by Ahmad. After Zane had given $44 to Gabriel and $21 to Ahmad, Gabriel gave $5 to Ahmad. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Zane and Gabriel had at first.

	Zane	Gabriel	Ahmad
Before	5 u + 104	5 u	6 u
Change 1	- 44	+ 44
Change 2	- 21		+ 21
Change 3		- 5	+ 5
After	5 u + 39	5 u + 39	6 u + 26

Amount that Gabriel had in the end = 5 u + 39 

Amount that Ahmad had in the end = 6 u + 26

Amount that Zane had at first 
= 5 u + 39 + 44 + 21
= 5 u + 104

Amount that Gabriel and Ahmad had in the end is the same.

5 u + 39 = 6 u + 26
6 u - 5 u = 39 - 26

1 u = 13

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

Amount that Zane had in the end
= 5 u + 39
= 5 x 13 + 39
= 65 + 39
= $104

Amount that Zane had at first
= 104 + 44 + 21
= $169

Difference in the amounts between Zane and Gabriel at first
= 169 - 65
= $104

Answer(s): $104