Eva, Jen, Nicole and Pamela received a sum of money. Eva received ²₅ of the total amount of money Jen, Nicole and Pamela received. Jen received ¹₃ of the total amount of money Nicole and Pamela received. Nicole received ¹₄ as much money as Pamela. If Jen received $54 less than Eva, find the total sum of money the 4 girls received.

Eva	Jen	Nicole	Pamela	Total
2x4	5x4
	1x5	3x5
		1x3	4x3
8 u	5 u	3 u	12 u	28 u

The total amount that Nicole and Pamela have is repeated.  Make the total amount that Nicole and Pamela have the same.  LCM of 5 and 3 is 15.

The total amount that Jen, Nicole and Pamela have is repeated.  Make the total amount that Jen, Nicole and Pamela have the same. LCM of 4 and 5 is 20.

Amount that Jen had less than Eva
= 8 u - 5 u
= 3 u

3 u = 54

1 u = 54 ÷ 3 = 18

Total sum of money that 4 girls received
= 8 u + 5 u + 3 u + 12 u 
= 28 u
= 28 x 18
= $504

Answer(s): $504