Nick, Peter and Ryan shared a sum of money. The amount received by Peter was ²₃ the amount of money received by Ryan. After Nick had given $50 to Peter and $26 to Ryan, Peter gave $8 to Ryan. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Nick and Peter had at first.

	Nick	Peter	Ryan
Before	2 u + 118	2 u	3 u
Change 1	- 50	+ 50
Change 2	- 26		+ 26
Change 3		- 8	+ 8
After	2 u + 42	2 u + 42	3 u + 34

Amount that Peter had in the end = 2 u + 42 

Amount that Ryan had in the end = 3 u + 34

Amount that Nick had at first 
= 2 u + 42 + 50 + 26
= 2 u + 118

Amount that Peter and Ryan had in the end is the same.

2 u + 42 = 3 u + 34
3 u - 2 u = 42 - 34

1 u = 8

Amount that Nick and Peter had in the end is the same.

Amount that Nick had in the end
= 2 u + 42
= 2 x 8 + 42
= 16 + 42
= $58

Amount that Nick had at first
= 58 + 50 + 26
= $134

Difference in the amounts between Nick and Peter at first
= 134 - 16
= $118

Answer(s): $118