Erika, Natalie, Risa and Gabby received a sum of money. Erika received ⁵₈ of the total amount of money Natalie, Risa and Gabby received. Natalie received ¹₅ of the total amount of money Risa and Gabby received. Risa received ¹₃ as much money as Gabby. If Natalie received $198 less than Erika, find the total sum of money the 4 girls received.

Erika	Natalie	Risa	Gabby	Total
5x3	8x3
	1x4	5x4
		1x5	3x5
15 u	4 u	5 u	15 u	39 u

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

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

Amount that Natalie had less than Erika
= 15 u - 4 u
= 11 u

11 u = 198

1 u = 198 ÷ 11 = 18

Total sum of money that 4 girls received
= 15 u + 4 u + 5 u + 15 u 
= 39 u
= 39 x 18
= $702

Answer(s): $702