Kylie, Opal, Diana and Gem received a sum of money. Kylie received ³₈ of the total amount of money Opal, Diana and Gem received. Opal received ¹₃ of the total amount of money Diana and Gem received. Diana received ¹₅ as much money as Gem. If Kylie received $14 more than Diana, find the total sum of money the 4 girls received.

Kylie	Opal	Diana	Gem	Total
3x1	8x1
	1x2	3x2
		1x1	5x1
3 u	2 u	1 u	5 u	11 u

The total amount that Diana and Gem have is repeated.  Make the total amount that Diana and Gem have the same.  LCM of 6 and 3 is 6.

The total amount that Opal, Diana and Gem have is repeated.  Make the total amount that Opal, Diana and Gem have the same. LCM of 4 and 8 is 8.

Amount that Kylie had more than Diana
= 3 u - 1 u
= 2 u

2 u = 14

1 u = 14 ÷ 2 = 7

Total sum of money that 4 girls received
= 3 u + 2 u + 1 u + 5 u 
= 11 u
= 11 x 7
= $77

Answer(s): $77