Nicole, Kylie and Min had a sum of money. The amount of money Nicole had was ²₅ of the amount of money Kylie had. The ratio of the amount of money Kylie had to the total amount of money Min and Kylie had was 3: 7. After Min gave $55 to Kylie, she had as much money as Kylie. How much more money did Min have than Nicole in the end?

Nicole	Kylie	Min
2x3 = 6 u	5x3 = 15 u
	3x5 = 15 u	4x5 = 20 u
6 u	15 u	20 u

The amount that Kylie had is the repeated identity. Make the amount that Kylie had the same.  LCM of 5 and 3 is 15.

	Nicole	Kylie	Min
Before	6 u	15 u	20 u
Change	No change	+ 55	- 55
After	6 u	15 u + 55	20 u - 55

The amount that Min and Kylie had in the end is the same.

20 u - 55 = 15 u + 55
20 u - 15 u = 55 + 55 
5 u = 110

1 u = 110 ÷ 5 = 22

Amount that Min had more than Nicole in the end
= 20 u - 55 - 6 u
= 14 u - 55
= 14 x 22 - 55
= 308 - 55
= $253

Answer(s): $253