Fanny, Nora and Opal had a sum of money. The amount of money Fanny had was ³₄ of the amount of money Nora had. The ratio of the amount of money Nora had to the total amount of money Opal and Nora had was 2: 5. After Opal gave $70 to Nora, she had as much money as Nora. How much more money did Opal have than Fanny in the end?

Fanny	Nora	Opal
3x1 = 3 u	4x1 = 4 u
	2x2 = 4 u	3x2 = 6 u
3 u	4 u	6 u

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

	Fanny	Nora	Opal
Before	3 u	4 u	6 u
Change	No change	+ 70	- 70
After	3 u	4 u + 70	6 u - 70

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

6 u - 70 = 4 u + 70
6 u - 4 u = 70 + 70 
2 u = 140

1 u = 140 ÷ 2 = 70

Amount that Opal had more than Fanny in the end
= 6 u - 70 - 3 u
= 3 u - 70
= 3 x 70 - 70
= 210 - 70
= $140

Answer(s): $140