Gabby, Victoria, Gwen and Cathy received a sum of money. Gabby received ²₅ of the total amount of money Victoria, Gwen and Cathy received. Victoria received ¹₄ of the total amount of money Gwen and Cathy received. Gwen received ¹₅ as much money as Cathy. If Victoria received $15 less than Gabby, find the total sum of money the 4 girls received.

Gabby	Victoria	Gwen	Cathy	Total
2x3	5x3
	1x3	4x3
		1x2	5x2
6 u	3 u	2 u	10 u	21 u

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

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

Amount that Victoria had less than Gabby
= 6 u - 3 u
= 3 u

3 u = 15

1 u = 15 ÷ 3 = 5

Total sum of money that 4 girls received
= 6 u + 3 u + 2 u + 10 u 
= 21 u
= 21 x 5
= $105

Answer(s): $105