Raeann, Olivia, Jen and Lucy received a sum of money. Raeann received ²₅ of the total amount of money Olivia, Jen and Lucy received. Olivia received ¹₂ of the total amount of money Jen and Lucy received. Jen received ¹₄ as much money as Lucy. If Raeann received $72 more than Jen, find the total sum of money the 4 girls received.

Raeann	Olivia	Jen	Lucy	Total
2x3	5x3
	1x5	2x5
		1x2	4x2
6 u	5 u	2 u	8 u	21 u

The total amount that Jen and Lucy have is repeated.  Make the total amount that Jen and Lucy have the same.  LCM of 5 and 2 is 10.

The total amount that Olivia, Jen and Lucy have is repeated.  Make the total amount that Olivia, Jen and Lucy have the same. LCM of 3 and 5 is 15.

Amount that Raeann had more than Jen
= 6 u - 2 u
= 4 u

4 u = 72

1 u = 72 ÷ 4 = 18

Total sum of money that 4 girls received
= 6 u + 5 u + 2 u + 8 u 
= 21 u
= 21 x 18
= $378

Answer(s): $378