Lee, Fabian and Japheth shared a sum of money. The amount received by Fabian was ³₄ the amount of money received by Japheth. After Lee had given $49 to Fabian and $30 to Japheth, Fabian gave $2 to Japheth. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Lee and Fabian had at first.

	Lee	Fabian	Japheth
Before	3 u + 126	3 u	4 u
Change 1	- 49	+ 49
Change 2	- 30		+ 30
Change 3		- 2	+ 2
After	3 u + 47	3 u + 47	4 u + 32

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

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

Amount that Lee had at first 
= 3 u + 47 + 49 + 30
= 3 u + 126

Amount that Fabian and Japheth had in the end is the same.

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

1 u = 15

Amount that Lee and Fabian had in the end is the same.

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

Amount that Lee had at first
= 92 + 49 + 30
= $171

Difference in the amounts between Lee and Fabian at first
= 171 - 45
= $126

Answer(s): $126