Gabby, Kathy, Yoko and Olivia received a sum of money. Gabby received ²₅ of the total amount of money Kathy, Yoko and Olivia received. Kathy received ¹₄ of the total amount of money Yoko and Olivia received. Yoko received ¹₅ as much money as Olivia. If Gabby received $52 more than Yoko, find the total sum of money the 4 girls received.

Gabby	Kathy	Yoko	Olivia	Total
2x3	5x3
	1x3	4x3
		1x2	5x2
6 u	3 u	2 u	10 u	21 u

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

The total amount that Kathy, Yoko and Olivia have is repeated.  Make the total amount that Kathy, Yoko and Olivia have the same. LCM of 5 and 5 is 15.

Amount that Gabby had more than Yoko
= 6 u - 2 u
= 4 u

4 u = 52

1 u = 52 ÷ 4 = 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