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

Vanessa	Tiffany	Tammy	Emily	Total
5x3	8x3
	1x4	5x4
		1x5	3x5
15 u	4 u	5 u	15 u	39 u

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

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

Amount that Tiffany had less than Vanessa
= 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