Will, Billy, Vaidev and Elijah shared $594. Elijah received ⁵₆ of the total amount of money received by Will, Billy and Vaidev. Will received ⁴₅ of the total amount for Billy and Vaidev. Billy received ¹₃ as much money as Vaidev. If Billy gave all his money to Elijah, how much did Elijah have more than Will in the end?

Will	Billy	Vaidev	Elijah	Total
6x6			5x6	11x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	30 u	66 u

The total amount that Billy and Vaidev have is repeated.  Make the total amount of Billy and Vaidev the same.  LCM of 4 and 5 is 20.

The total amount that Will, Billy and Vaidev have is repeated.  Make the total amount of Will, Billy and Vaidev the same. LCM of 36 and 6 is 36.

Total amount that Will, Billy, Vaidev and Elijah shared = 66 u

66 u = 594

1 u = 594 ÷ 66 = 9

	Will	Billy	Vaidev	Elijah
Before	16 u	5 u	15 u	30 u
Change		- 5 u		+ 5 u
After	16 u	0 u	15 u	35 u

Amount that Elijah had if Billy gave him all his money
= 30 u + 5 u
= 35 u

Amount that Elijah had more than Will
= 35 u - 16 u
= 19 u
= 19 x 9
= $171

Answer(s): $171