Elyse, Jen, Tammy and Kimberly received a sum of money. Elyse received ²₅ of the total amount of money Jen, Tammy and Kimberly received. Jen received ¹₄ of the total amount of money Tammy and Kimberly received. Tammy received ¹₂ as much money as Kimberly. If Jen received $45 less than Elyse, find the total sum of money the 4 girls received.

Elyse	Jen	Tammy	Kimberly	Total
2x3	5x3
	1x3	4x3
		1x4	2x4
6 u	3 u	4 u	8 u	21 u

The total amount that Tammy and Kimberly have is repeated.  Make the total amount that Tammy and Kimberly have the same.  LCM of 3 and 4 is 12.

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

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

3 u = 45

1 u = 45 ÷ 3 = 15

Total sum of money that 4 girls received
= 6 u + 3 u + 4 u + 8 u 
= 21 u
= 21 x 15
= $315

Answer(s): $315