Kimberly, Usha and Cindy had a sum of money. The amount of money Kimberly had was ²₅ of the amount of money Usha had. The ratio of the amount of money Usha had to the total amount of money Cindy and Usha had was 2: 5. After Cindy gave $80 to Usha, she had as much money as Usha. How much more money did Cindy have than Kimberly in the end?

Kimberly	Usha	Cindy
2x2 = 4 u	5x2 = 10 u
	2x5 = 10 u	3x5 = 15 u
4 u	10 u	15 u

The amount that Usha had is the repeated identity. Make the amount that Usha had the same.  LCM of 5 and 2 is 10.

	Kimberly	Usha	Cindy
Before	4 u	10 u	15 u
Change	No change	+ 80	- 80
After	4 u	10 u + 80	15 u - 80

The amount that Cindy and Usha had in the end is the same.

15 u - 80 = 10 u + 80
15 u - 10 u = 80 + 80 
5 u = 160

1 u = 160 ÷ 5 = 32

Amount that Cindy had more than Kimberly in the end
= 15 u - 80 - 4 u
= 11 u - 80
= 11 x 32 - 80
= 352 - 80
= $272

Answer(s): $272