Eric, Valen, Gabriel and Tommy shared $288. Tommy received ³₅ of the total amount of money received by Eric, Valen and Gabriel. Eric received ¹₃ of the total amount for Valen and Gabriel. Valen received ²₃ as much money as Gabriel. If Valen gave all his money to Tommy, how much did Tommy have more than Eric in the end?

Eric	Valen	Gabriel	Tommy	Total
5x4			3x4	8x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	12 u	32 u

The total amount that Valen and Gabriel have is repeated.  Make the total amount of Valen and Gabriel the same.  LCM of 5 and 3 is 15.

The total amount that Eric, Valen and Gabriel have is repeated.  Make the total amount of Eric, Valen and Gabriel the same. LCM of 20 and 5 is 20.

Total amount that Eric, Valen, Gabriel and Tommy shared = 32 u

32 u = 288

1 u = 288 ÷ 32 = 9

	Eric	Valen	Gabriel	Tommy
Before	5 u	6 u	9 u	12 u
Change		- 6 u		+ 6 u
After	5 u	0 u	9 u	18 u

Amount that Tommy had if Valen gave him all his money
= 12 u + 6 u
= 18 u

Amount that Tommy had more than Eric
= 18 u - 5 u
= 13 u
= 13 x 9
= $117

Answer(s): $117