Carl, Brandon and Archie shared a sum of money. The amount received by Brandon was ⁵₆ the amount of money received by Archie. After Carl had given $53 to Brandon and $21 to Archie, Brandon gave $2 to Archie. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Carl and Brandon had at first.

	Carl	Brandon	Archie
Before	5 u + 125	5 u	6 u
Change 1	- 53	+ 53
Change 2	- 21		+ 21
Change 3		- 2	+ 2
After	5 u + 51	5 u + 51	6 u + 23

Amount that Brandon had in the end = 5 u + 51 

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

Amount that Carl had at first 
= 5 u + 51 + 53 + 21
= 5 u + 125

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

5 u + 51 = 6 u + 23
6 u - 5 u = 51 - 23

1 u = 28

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

Amount that Carl had in the end
= 5 u + 51
= 5 x 28 + 51
= 140 + 51
= $191

Amount that Carl had at first
= 191 + 53 + 21
= $265

Difference in the amounts between Carl and Brandon at first
= 265 - 140
= $125

Answer(s): $125