Pierre, Rael and Jack shared a sum of money. The amount received by Rael was ⁵₆ the amount of money received by Jack. After Pierre had given $54 to Rael and $30 to Jack, Rael gave $5 to Jack. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Pierre and Rael had at first.

	Pierre	Rael	Jack
Before	5 u + 133	5 u	6 u
Change 1	- 54	+ 54
Change 2	- 30		+ 30
Change 3		- 5	+ 5
After	5 u + 49	5 u + 49	6 u + 35

Amount that Rael had in the end = 5 u + 49 

Amount that Jack had in the end = 6 u + 35

Amount that Pierre had at first 
= 5 u + 49 + 54 + 30
= 5 u + 133

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

5 u + 49 = 6 u + 35
6 u - 5 u = 49 - 35

1 u = 14

Amount that Pierre and Rael had in the end is the same.

Amount that Pierre had in the end
= 5 u + 49
= 5 x 14 + 49
= 70 + 49
= $119

Amount that Pierre had at first
= 119 + 54 + 30
= $203

Difference in the amounts between Pierre and Rael at first
= 203 - 70
= $133

Answer(s): $133