Emma, Victoria, Nicole and Xylia received a sum of money. Emma received ⁵₈ of the total amount of money Victoria, Nicole and Xylia received. Victoria received ¹₅ of the total amount of money Nicole and Xylia received. Nicole received ¹₃ as much money as Xylia. If Emma received $130 more than Nicole, find the total sum of money the 4 girls received.

Emma	Victoria	Nicole	Xylia	Total
5x3	8x3
	1x4	5x4
		1x5	3x5
15 u	4 u	5 u	15 u	39 u

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

The total amount that Victoria, Nicole and Xylia have is repeated.  Make the total amount that Victoria, Nicole and Xylia have the same. LCM of 6 and 8 is 24.

Amount that Emma had more than Nicole
= 15 u - 5 u
= 10 u

10 u = 130

1 u = 130 ÷ 10 = 13

Total sum of money that 4 girls received
= 15 u + 4 u + 5 u + 15 u 
= 39 u
= 39 x 13
= $507

Answer(s): $507