Cindy, Opal, Raeann and Cathy received a sum of money. Cindy received ²₅ of the total amount of money Opal, Raeann and Cathy received. Opal received ¹₄ of the total amount of money Raeann and Cathy received. Raeann received ¹₅ as much money as Cathy. If Opal received $39 less than Cindy, find the total sum of money the 4 girls received.

Cindy	Opal	Raeann	Cathy	Total
2x3	5x3
	1x3	4x3
		1x2	5x2
6 u	3 u	2 u	10 u	21 u

The total amount that Raeann and Cathy have is repeated.  Make the total amount that Raeann and Cathy have the same.  LCM of 6 and 4 is 12.

The total amount that Opal, Raeann and Cathy have is repeated.  Make the total amount that Opal, Raeann and Cathy have the same. LCM of 5 and 5 is 15.

Amount that Opal had less than Cindy
= 6 u - 3 u
= 3 u

3 u = 39

1 u = 39 ÷ 3 = 13

Total sum of money that 4 girls received
= 6 u + 3 u + 2 u + 10 u 
= 21 u
= 21 x 13
= $273

Answer(s): $273