Victoria, Opal, Marion and Hazel received a sum of money. Victoria received ³₈ of the total amount of money Opal, Marion and Hazel received. Opal received ¹₅ of the total amount of money Marion and Hazel received. Marion received ¹₃ as much money as Hazel. If Opal received $80 less than Victoria, find the total sum of money the 4 girls received.

Victoria	Opal	Marion	Hazel	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

The total amount that Opal, Marion and Hazel have is repeated.  Make the total amount that Opal, Marion and Hazel have the same. LCM of 6 and 8 is 24.

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

5 u = 80

1 u = 80 ÷ 5 = 16

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 16
= $528

Answer(s): $528