Joelle, Lucy, Raeann and Victoria received a sum of money. Joelle received ³₈ of the total amount of money Lucy, Raeann and Victoria received. Lucy received ¹₃ of the total amount of money Raeann and Victoria received. Raeann received ¹₅ as much money as Victoria. If Joelle received $32 more than Raeann, find the total sum of money the 4 girls received.

Joelle	Lucy	Raeann	Victoria	Total
3x1	8x1
	1x2	3x2
		1x1	5x1
3 u	2 u	1 u	5 u	11 u

The total amount that Raeann and Victoria have is repeated.  Make the total amount that Raeann and Victoria have the same.  LCM of 6 and 3 is 6.

The total amount that Lucy, Raeann and Victoria have is repeated.  Make the total amount that Lucy, Raeann and Victoria have the same. LCM of 4 and 8 is 8.

Amount that Joelle had more than Raeann
= 3 u - 1 u
= 2 u

2 u = 32

1 u = 32 ÷ 2 = 16

Total sum of money that 4 girls received
= 3 u + 2 u + 1 u + 5 u 
= 11 u
= 11 x 16
= $176

Answer(s): $176