Emily, Jen, Yen and Kimberly received a sum of money. Emily received ²₅ of the total amount of money Jen, Yen and Kimberly received. Jen received ¹₄ of the total amount of money Yen and Kimberly received. Yen received ¹₅ as much money as Kimberly. If Jen received $15 less than Emily, find the total sum of money the 4 girls received.

Emily	Jen	Yen	Kimberly	Total
2x3	5x3
	1x3	4x3
		1x2	5x2
6 u	3 u	2 u	10 u	21 u

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

The total amount that Jen, Yen and Kimberly have is repeated.  Make the total amount that Jen, Yen and Kimberly have the same. LCM of 5 and 5 is 15.

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

3 u = 15

1 u = 15 ÷ 3 = 5

Total sum of money that 4 girls received
= 6 u + 3 u + 2 u + 10 u 
= 21 u
= 21 x 5
= $105

Answer(s): $105