Julie, Jaslyn and Shannon had a sum of money. The amount of money Julie had was ³₄ of the amount of money Jaslyn had. The ratio of the amount of money Jaslyn had to the total amount of money Shannon and Jaslyn had was 2: 5. After Shannon gave $86 to Jaslyn, she had as much money as Jaslyn. How much more money did Shannon have than Julie in the end?

Julie	Jaslyn	Shannon
3x1 = 3 u	4x1 = 4 u
	2x2 = 4 u	3x2 = 6 u
3 u	4 u	6 u

The amount that Jaslyn had is the repeated identity. Make the amount that Jaslyn had the same.  LCM of 4 and 2 is 4.

	Julie	Jaslyn	Shannon
Before	3 u	4 u	6 u
Change	No change	+ 86	- 86
After	3 u	4 u + 86	6 u - 86

The amount that Shannon and Jaslyn had in the end is the same.

6 u - 86 = 4 u + 86
6 u - 4 u = 86 + 86 
2 u = 172

1 u = 172 ÷ 2 = 86

Amount that Shannon had more than Julie in the end
= 6 u - 86 - 3 u
= 3 u - 86
= 3 x 86 - 86
= 258 - 86
= $172

Answer(s): $172