Jade, Julie, Barbara and Cathy received a sum of money. Jade received ³₈ of the total amount of money Julie, Barbara and Cathy received. Julie received ¹₅ of the total amount of money Barbara and Cathy received. Barbara received ¹₃ as much money as Cathy. If Julie received $50 less than Jade, find the total sum of money the 4 girls received.

Jade	Julie	Barbara	Cathy	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

The total amount that Julie, Barbara and Cathy have is repeated.  Make the total amount that Julie, Barbara and Cathy have the same. LCM of 6 and 8 is 24.

Amount that Julie had less than Jade
= 9 u - 4 u
= 5 u

5 u = 50

1 u = 50 ÷ 5 = 10

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 10
= $330

Answer(s): $330