Kylie, Jade and Min had a sum of money. The amount of money Kylie had was ²₃ of the amount of money Jade had. The ratio of the amount of money Jade had to the total amount of money Min and Jade had was 2: 7. After Min gave $90 to Jade, she had as much money as Jade. How much more money did Min have than Kylie in the end?

Kylie	Jade	Min
2x2 = 4 u	3x2 = 6 u
	2x3 = 6 u	5x3 = 15 u
4 u	6 u	15 u

The amount that Jade had is the repeated identity. Make the amount that Jade had the same.  LCM of 3 and 2 is 6.

	Kylie	Jade	Min
Before	4 u	6 u	15 u
Change	No change	+ 90	- 90
After	4 u	6 u + 90	15 u - 90

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

15 u - 90 = 6 u + 90
15 u - 6 u = 90 + 90 
9 u = 180

1 u = 180 ÷ 9 = 20

Amount that Min had more than Kylie in the end
= 15 u - 90 - 4 u
= 11 u - 90
= 11 x 20 - 90
= 220 - 90
= $130

Answer(s): $130