Raeann, Lucy, Natalie and Elyse received a sum of money. Raeann received ⁵₈ of the total amount of money Lucy, Natalie and Elyse received. Lucy received ¹₅ of the total amount of money Natalie and Elyse received. Natalie received ¹₃ as much money as Elyse. If Raeann received $200 more than Natalie, find the total sum of money the 4 girls received.

Raeann	Lucy	Natalie	Elyse	Total
5x3	8x3
	1x4	5x4
		1x5	3x5
15 u	4 u	5 u	15 u	39 u

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

The total amount that Lucy, Natalie and Elyse have is repeated.  Make the total amount that Lucy, Natalie and Elyse have the same. LCM of 6 and 8 is 24.

Amount that Raeann had more than Natalie
= 15 u - 5 u
= 10 u

10 u = 200

1 u = 200 ÷ 10 = 20

Total sum of money that 4 girls received
= 15 u + 4 u + 5 u + 15 u 
= 39 u
= 39 x 20
= $780

Answer(s): $780