Rachel, Risa, Raeann and Erika received a sum of money. Rachel received ³₈ of the total amount of money Risa, Raeann and Erika received. Risa received ¹₅ of the total amount of money Raeann and Erika received. Raeann received ¹₃ as much money as Erika. If Rachel received $60 more than Raeann, find the total sum of money the 4 girls received.

Rachel	Risa	Raeann	Erika	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

The total amount that Risa, Raeann and Erika have is repeated.  Make the total amount that Risa, Raeann and Erika have the same. LCM of 6 and 8 is 24.

Amount that Rachel had more than Raeann
= 9 u - 5 u
= 4 u

4 u = 60

1 u = 60 ÷ 4 = 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