Usha, Pamela and Xandra had a sum of money. The amount of money Usha had was ²₅ of the amount of money Pamela had. The ratio of the amount of money Pamela had to the total amount of money Xandra and Pamela had was 4: 9. After Xandra gave $55 to Pamela, she had as much money as Pamela. How much more money did Xandra have than Usha in the end?

Usha	Pamela	Xandra
2x4 = 8 u	5x4 = 20 u
	4x5 = 20 u	5x5 = 25 u
8 u	20 u	25 u

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

	Usha	Pamela	Xandra
Before	8 u	20 u	25 u
Change	No change	+ 55	- 55
After	8 u	20 u + 55	25 u - 55

The amount that Xandra and Pamela had in the end is the same.

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

1 u = 110 ÷ 5 = 22

Amount that Xandra had more than Usha in the end
= 25 u - 55 - 8 u
= 17 u - 55
= 17 x 22 - 55
= 374 - 55
= $319

Answer(s): $319