Charlie, Valen, Seth and Jeremy shared $140. Jeremy received ³₄ of the total amount of money received by Charlie, Valen and Seth. Charlie received ²₃ of the total amount for Valen and Seth. Valen received ¹₃ as much money as Seth. If Seth gave all his money to Jeremy, how much did Jeremy have more than Valen in the end?

Charlie	Valen	Seth	Jeremy	Total
4x5			3x5	7x5
2x4	3x4
	1x3	3x3
8 u	3 u	9 u	15 u	35 u

The total amount that Valen and Seth have is repeated.  Make the total amount of Valen and Seth the same.  LCM of 4 and 3 is 12.

The total amount that Charlie, Valen and Seth have is repeated.  Make the total amount of Charlie, Valen and Seth the same. LCM of 20 and 4 is 20.

Total amount that Charlie, Valen, Seth and Jeremy shared = 35 u

35 u = 140

1 u = 140 ÷ 35 = 4

	Charlie	Valen	Seth	Jeremy
Before	8 u	3 u	9 u	15 u
Change			- 9 u	+ 9 u
After	8 u	3 u	0 u	24 u

Amount that Jeremy had if Seth gave him all his money
= 15 u + 9 u
= 24 u

Amount that Jeremy had more than Valen
= 24 u - 3 u
= 21 u
= 21 x 4
= $84

Answer(s): $84