Billy, Asher, Gabriel and John shared $192. John received ¹₅ of the total amount of money received by Billy, Asher and Gabriel. Billy received ¹₃ of the total amount for Asher and Gabriel. Asher received ²₃ as much money as Gabriel. If Asher gave all his money to John, how much did John have more than Billy in the end?

Billy	Asher	Gabriel	John	Total
5x4			1x4	6x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	4 u	24 u

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

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

Total amount that Billy, Asher, Gabriel and John shared = 24 u

24 u = 192

1 u = 192 ÷ 24 = 8

	Billy	Asher	Gabriel	John
Before	5 u	6 u	9 u	4 u
Change		- 6 u		+ 6 u
After	5 u	0 u	9 u	10 u

Amount that John had if Asher gave him all his money
= 4 u + 6 u
= 10 u

Amount that John had more than Billy
= 10 u - 5 u
= 5 u
= 5 x 8
= $40

Answer(s): $40