Emily, Cindy, Zoe and Joelle received a sum of money. Emily received ²₅ of the total amount of money Cindy, Zoe and Joelle received. Cindy received ¹₄ of the total amount of money Zoe and Joelle received. Zoe received ¹₅ as much money as Joelle. If Cindy received $27 less than Emily, find the total sum of money the 4 girls received.

Emily	Cindy	Zoe	Joelle	Total
2x3	5x3
	1x3	4x3
		1x2	5x2
6 u	3 u	2 u	10 u	21 u

The total amount that Zoe and Joelle have is repeated.  Make the total amount that Zoe and Joelle have the same.  LCM of 6 and 4 is 12.

The total amount that Cindy, Zoe and Joelle have is repeated.  Make the total amount that Cindy, Zoe and Joelle have the same. LCM of 5 and 5 is 15.

Amount that Cindy had less than Emily
= 6 u - 3 u
= 3 u

3 u = 27

1 u = 27 ÷ 3 = 9

Total sum of money that 4 girls received
= 6 u + 3 u + 2 u + 10 u 
= 21 u
= 21 x 9
= $189

Answer(s): $189