Min, Barbara and Eva had a sum of money. The amount of money Min had was ²₅ of the amount of money Barbara had. The ratio of the amount of money Barbara had to the total amount of money Eva and Barbara had was 4: 9. After Eva gave $30 to Barbara, she had as much money as Barbara. How much more money did Eva have than Min in the end?

Min	Barbara	Eva
2x4 = 8 u	5x4 = 20 u
	4x5 = 20 u	5x5 = 25 u
8 u	20 u	25 u

The amount that Barbara had is the repeated identity. Make the amount that Barbara had the same.  LCM of 5 and 4 is 20.

	Min	Barbara	Eva
Before	8 u	20 u	25 u
Change	No change	+ 30	- 30
After	8 u	20 u + 30	25 u - 30

The amount that Eva and Barbara had in the end is the same.

25 u - 30 = 20 u + 30
25 u - 20 u = 30 + 30 
5 u = 60

1 u = 60 ÷ 5 = 12

Amount that Eva had more than Min in the end
= 25 u - 30 - 8 u
= 17 u - 30
= 17 x 12 - 30
= 204 - 30
= $174

Answer(s): $174