Dana, Nora, Lynn and Tammy received a sum of money. Dana received ⁵₈ of the total amount of money Nora, Lynn and Tammy received. Nora received ¹₅ of the total amount of money Lynn and Tammy received. Lynn received ¹₃ as much money as Tammy. If Nora received $55 less than Dana, find the total sum of money the 4 girls received.

Dana	Nora	Lynn	Tammy	Total
5x3	8x3
	1x4	5x4
		1x5	3x5
15 u	4 u	5 u	15 u	39 u

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

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

Amount that Nora had less than Dana
= 15 u - 4 u
= 11 u

11 u = 55

1 u = 55 ÷ 11 = 5

Total sum of money that 4 girls received
= 15 u + 4 u + 5 u + 15 u 
= 39 u
= 39 x 5
= $195

Answer(s): $195