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

Min	Shiyun	Ivory
3x1 = 3 u	4x1 = 4 u
	2x2 = 4 u	3x2 = 6 u
3 u	4 u	6 u

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

	Min	Shiyun	Ivory
Before	3 u	4 u	6 u
Change	No change	+ 86	- 86
After	3 u	4 u + 86	6 u - 86

The amount that Ivory and Shiyun 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 Ivory had more than Min in the end
= 6 u - 86 - 3 u
= 3 u - 86
= 3 x 86 - 86
= 258 - 86
= $172

Answer(s): $172