Jaslyn, Marion, Tiffany and Julie received a sum of money. Jaslyn received ²₅ of the total amount of money Marion, Tiffany and Julie received. Marion received ¹₄ of the total amount of money Tiffany and Julie received. Tiffany received ¹₅ as much money as Julie. If Marion received $45 less than Jaslyn, find the total sum of money the 4 girls received.

Jaslyn	Marion	Tiffany	Julie	Total
2x3	5x3
	1x3	4x3
		1x2	5x2
6 u	3 u	2 u	10 u	21 u

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

The total amount that Marion, Tiffany and Julie have is repeated.  Make the total amount that Marion, Tiffany and Julie have the same. LCM of 5 and 5 is 15.

Amount that Marion had less than Jaslyn
= 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 + 2 u + 10 u 
= 21 u
= 21 x 15
= $315

Answer(s): $315