Julie, Gwen, Kylie and Diana received a sum of money. Julie received ³₈ of the total amount of money Gwen, Kylie and Diana received. Gwen received ¹₅ of the total amount of money Kylie and Diana received. Kylie received ¹₃ as much money as Diana. If Julie received $48 more than Kylie, find the total sum of money the 4 girls received.

Julie	Gwen	Kylie	Diana	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

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

The total amount that Gwen, Kylie and Diana have is repeated.  Make the total amount that Gwen, Kylie and Diana have the same. LCM of 6 and 8 is 24.

Amount that Julie had more than Kylie
= 9 u - 5 u
= 4 u

4 u = 48

1 u = 48 ÷ 4 = 12

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 12
= $396

Answer(s): $396