Julie, Rachel, Kylie and Tina received a sum of money. Julie received ²₅ of the total amount of money Rachel, Kylie and Tina received. Rachel received ¹₄ of the total amount of money Kylie and Tina received. Kylie received ¹₅ as much money as Tina. If Julie received $80 more than Kylie, find the total sum of money the 4 girls received.

Julie	Rachel	Kylie	Tina	Total
2x3	5x3
	1x3	4x3
		1x2	5x2
6 u	3 u	2 u	10 u	21 u

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

The total amount that Rachel, Kylie and Tina have is repeated.  Make the total amount that Rachel, Kylie and Tina have the same. LCM of 5 and 5 is 15.

Amount that Julie had more than Kylie
= 6 u - 2 u
= 4 u

4 u = 80

1 u = 80 ÷ 4 = 20

Total sum of money that 4 girls received
= 6 u + 3 u + 2 u + 10 u 
= 21 u
= 21 x 20
= $420

Answer(s): $420