Opal, Wendy, Victoria and Esther received a sum of money. Opal received ³₈ of the total amount of money Wendy, Victoria and Esther received. Wendy received ¹₅ of the total amount of money Victoria and Esther received. Victoria received ¹₃ as much money as Esther. If Wendy received $75 less than Opal, find the total sum of money the 4 girls received.

Opal	Wendy	Victoria	Esther	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

The total amount that Wendy, Victoria and Esther have is repeated.  Make the total amount that Wendy, Victoria and Esther have the same. LCM of 6 and 8 is 24.

Amount that Wendy had less than Opal
= 9 u - 4 u
= 5 u

5 u = 75

1 u = 75 ÷ 5 = 15

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 15
= $495

Answer(s): $495