Barbara, Jane, Opal and Olivia received a sum of money. Barbara received ³₈ of the total amount of money Jane, Opal and Olivia received. Jane received ¹₅ of the total amount of money Opal and Olivia received. Opal received ¹₃ as much money as Olivia. If Jane received $100 less than Barbara, find the total sum of money the 4 girls received.

Barbara	Jane	Opal	Olivia	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

The total amount that Jane, Opal and Olivia have is repeated.  Make the total amount that Jane, Opal and Olivia have the same. LCM of 6 and 8 is 24.

Amount that Jane had less than Barbara
= 9 u - 4 u
= 5 u

5 u = 100

1 u = 100 ÷ 5 = 20

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 20
= $660

Answer(s): $660