Tiffany, Kylie and Usha had a sum of money. The amount of money Tiffany 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 Usha and Kylie had was 4: 9. After Usha gave $85 to Kylie, she had as much money as Kylie. How much more money did Usha have than Tiffany in the end?

Tiffany	Kylie	Usha
2x4 = 8 u	5x4 = 20 u
	4x5 = 20 u	5x5 = 25 u
8 u	20 u	25 u

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

	Tiffany	Kylie	Usha
Before	8 u	20 u	25 u
Change	No change	+ 85	- 85
After	8 u	20 u + 85	25 u - 85

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

25 u - 85 = 20 u + 85
25 u - 20 u = 85 + 85 
5 u = 170

1 u = 170 ÷ 5 = 34

Amount that Usha had more than Tiffany in the end
= 25 u - 85 - 8 u
= 17 u - 85
= 17 x 34 - 85
= 578 - 85
= $493

Answer(s): $493