Caden, Dylan and Bryan shared a sum of money. The amount received by Dylan was ⁴₅ the amount of money received by Bryan. After Caden had given $53 to Dylan and $21 to Bryan, Dylan gave $8 to Bryan. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Caden and Dylan had at first.

	Caden	Dylan	Bryan
Before	4 u + 119	4 u	5 u
Change 1	- 53	+ 53
Change 2	- 21		+ 21
Change 3		- 8	+ 8
After	4 u + 45	4 u + 45	5 u + 29

Amount that Dylan had in the end = 4 u + 45 

Amount that Bryan had in the end = 5 u + 29

Amount that Caden had at first 
= 4 u + 45 + 53 + 21
= 4 u + 119

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

4 u + 45 = 5 u + 29
5 u - 4 u = 45 - 29

1 u = 16

Amount that Caden and Dylan had in the end is the same.

Amount that Caden had in the end
= 4 u + 45
= 4 x 16 + 45
= 64 + 45
= $109

Amount that Caden had at first
= 109 + 53 + 21
= $183

Difference in the amounts between Caden and Dylan at first
= 183 - 64
= $119

Answer(s): $119