Billy, Wesley, Rael and Archie shared $144. Archie received ¹₅ of the total amount of money received by Billy, Wesley and Rael. Billy received ¹₃ of the total amount for Wesley and Rael. Wesley received ²₃ as much money as Rael. If Wesley gave all his money to Archie, how much did Archie have more than Billy in the end?

Billy	Wesley	Rael	Archie	Total
5x4			1x4	6x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	4 u	24 u

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

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

Total amount that Billy, Wesley, Rael and Archie shared = 24 u

24 u = 144

1 u = 144 ÷ 24 = 6

	Billy	Wesley	Rael	Archie
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 Archie had if Wesley gave him all his money
= 4 u + 6 u
= 10 u

Amount that Archie had more than Billy
= 10 u - 5 u
= 5 u
= 5 x 6
= $30

Answer(s): $30