Kathy, Yen, Natalie and Nora received a sum of money. Kathy received ³₈ of the total amount of money Yen, Natalie and Nora received. Yen received ¹₅ of the total amount of money Natalie and Nora received. Natalie received ¹₃ as much money as Nora. If Yen received $25 less than Kathy, find the total sum of money the 4 girls received.

Kathy	Yen	Natalie	Nora	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

The total amount that Yen, Natalie and Nora have is repeated.  Make the total amount that Yen, Natalie and Nora have the same. LCM of 6 and 8 is 24.

Amount that Yen had less than Kathy
= 9 u - 4 u
= 5 u

5 u = 25

1 u = 25 ÷ 5 = 5

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 5
= $165

Answer(s): $165