Pierre, Tommy and Michael shared a sum of money. The amount received by Tommy was ³₄ the amount of money received by Michael. After Pierre had given $55 to Tommy and $23 to Michael, Tommy gave $8 to Michael. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Pierre and Tommy had at first.

	Pierre	Tommy	Michael
Before	3 u + 125	3 u	4 u
Change 1	- 55	+ 55
Change 2	- 23		+ 23
Change 3		- 8	+ 8
After	3 u + 47	3 u + 47	4 u + 31

Amount that Tommy had in the end = 3 u + 47 

Amount that Michael had in the end = 4 u + 31

Amount that Pierre had at first 
= 3 u + 47 + 55 + 23
= 3 u + 125

Amount that Tommy and Michael had in the end is the same.

3 u + 47 = 4 u + 31
4 u - 3 u = 47 - 31

1 u = 16

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

Amount that Pierre had in the end
= 3 u + 47
= 3 x 16 + 47
= 48 + 47
= $95

Amount that Pierre had at first
= 95 + 55 + 23
= $173

Difference in the amounts between Pierre and Tommy at first
= 173 - 48
= $125

Answer(s): $125