Bryan, Liam and Gabriel shared a sum of money. The amount received by Liam was ⁵₆ the amount of money received by Gabriel. After Bryan had given $53 to Liam and $20 to Gabriel, Liam gave $7 to Gabriel. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Bryan and Liam had at first.

	Bryan	Liam	Gabriel
Before	5 u + 119	5 u	6 u
Change 1	- 53	+ 53
Change 2	- 20		+ 20
Change 3		- 7	+ 7
After	5 u + 46	5 u + 46	6 u + 27

Amount that Liam had in the end = 5 u + 46 

Amount that Gabriel had in the end = 6 u + 27

Amount that Bryan had at first 
= 5 u + 46 + 53 + 20
= 5 u + 119

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

5 u + 46 = 6 u + 27
6 u - 5 u = 46 - 27

1 u = 19

Amount that Bryan and Liam had in the end is the same.

Amount that Bryan had in the end
= 5 u + 46
= 5 x 19 + 46
= 95 + 46
= $141

Amount that Bryan had at first
= 141 + 53 + 20
= $214

Difference in the amounts between Bryan and Liam at first
= 214 - 95
= $119

Answer(s): $119