Wendy, Lynn, Xandra and Roshel received a sum of money. Wendy received ⁵₈ of the total amount of money Lynn, Xandra and Roshel received. Lynn received ¹₅ of the total amount of money Xandra and Roshel received. Xandra received ¹₃ as much money as Roshel. If Lynn received $165 less than Wendy, find the total sum of money the 4 girls received.

Wendy	Lynn	Xandra	Roshel	Total
5x3	8x3
	1x4	5x4
		1x5	3x5
15 u	4 u	5 u	15 u	39 u

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

The total amount that Lynn, Xandra and Roshel have is repeated.  Make the total amount that Lynn, Xandra and Roshel have the same. LCM of 6 and 8 is 24.

Amount that Lynn had less than Wendy
= 15 u - 4 u
= 11 u

11 u = 165

1 u = 165 ÷ 11 = 15

Total sum of money that 4 girls received
= 15 u + 4 u + 5 u + 15 u 
= 39 u
= 39 x 15
= $585

Answer(s): $585