Gabriel, Ivan and Jack shared a sum of money. The amount received by Ivan was ⁴₅ the amount of money received by Jack. After Gabriel had given $51 to Ivan and $26 to Jack, Ivan gave $4 to Jack. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Gabriel and Ivan had at first.

	Gabriel	Ivan	Jack
Before	4 u + 124	4 u	5 u
Change 1	- 51	+ 51
Change 2	- 26		+ 26
Change 3		- 4	+ 4
After	4 u + 47	4 u + 47	5 u + 30

Amount that Ivan had in the end = 4 u + 47 

Amount that Jack had in the end = 5 u + 30

Amount that Gabriel had at first 
= 4 u + 47 + 51 + 26
= 4 u + 124

Amount that Ivan and Jack had in the end is the same.

4 u + 47 = 5 u + 30
5 u - 4 u = 47 - 30

1 u = 17

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

Amount that Gabriel had in the end
= 4 u + 47
= 4 x 17 + 47
= 68 + 47
= $115

Amount that Gabriel had at first
= 115 + 51 + 26
= $192

Difference in the amounts between Gabriel and Ivan at first
= 192 - 68
= $124

Answer(s): $124