Julian, Carl and Vincent shared a sum of money. The amount received by Carl was ³₄ the amount of money received by Vincent. After Julian had given $54 to Carl and $25 to Vincent, Carl gave $7 to Vincent. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Julian and Carl had at first.

	Julian	Carl	Vincent
Before	3 u + 126	3 u	4 u
Change 1	- 54	+ 54
Change 2	- 25		+ 25
Change 3		- 7	+ 7
After	3 u + 47	3 u + 47	4 u + 32

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

Amount that Vincent had in the end = 4 u + 32

Amount that Julian had at first 
= 3 u + 47 + 54 + 25
= 3 u + 126

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

3 u + 47 = 4 u + 32
4 u - 3 u = 47 - 32

1 u = 15

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

Amount that Julian had in the end
= 3 u + 47
= 3 x 15 + 47
= 45 + 47
= $92

Amount that Julian had at first
= 92 + 54 + 25
= $171

Difference in the amounts between Julian and Carl at first
= 171 - 45
= $126

Answer(s): $126