Pamela, Kathy, Linda and Jaslyn received a sum of money. Pamela received ⁵₈ of the total amount of money Kathy, Linda and Jaslyn received. Kathy received ¹₅ of the total amount of money Linda and Jaslyn received. Linda received ¹₃ as much money as Jaslyn. If Pamela received $190 more than Linda, find the total sum of money the 4 girls received.

Pamela	Kathy	Linda	Jaslyn	Total
5x3	8x3
	1x4	5x4
		1x5	3x5
15 u	4 u	5 u	15 u	39 u

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

The total amount that Kathy, Linda and Jaslyn have is repeated.  Make the total amount that Kathy, Linda and Jaslyn have the same. LCM of 6 and 8 is 24.

Amount that Pamela had more than Linda
= 15 u - 5 u
= 10 u

10 u = 190

1 u = 190 ÷ 10 = 19

Total sum of money that 4 girls received
= 15 u + 4 u + 5 u + 15 u 
= 39 u
= 39 x 19
= $741

Answer(s): $741