Julie, Ivory and Nora had a sum of money. The amount of money Julie had was ³₄ of the amount of money Ivory had. The ratio of the amount of money Ivory had to the total amount of money Nora and Ivory had was 2: 7. After Nora gave $93 to Ivory, she had as much money as Ivory. How much more money did Nora have than Julie in the end?

Julie	Ivory	Nora
3x1 = 3 u	4x1 = 4 u
	2x2 = 4 u	5x2 = 10 u
3 u	4 u	10 u

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

	Julie	Ivory	Nora
Before	3 u	4 u	10 u
Change	No change	+ 93	- 93
After	3 u	4 u + 93	10 u - 93

The amount that Nora and Ivory had in the end is the same.

10 u - 93 = 4 u + 93
10 u - 4 u = 93 + 93 
6 u = 186

1 u = 186 ÷ 6 = 31

Amount that Nora had more than Julie in the end
= 10 u - 93 - 3 u
= 7 u - 93
= 7 x 31 - 93
= 217 - 93
= $124

Answer(s): $124