Nicole, Zara and Roshel had a sum of money. The amount of money Nicole had was ²₅ of the amount of money Zara had. The ratio of the amount of money Zara had to the total amount of money Roshel and Zara had was 4: 9. After Roshel gave $95 to Zara, she had as much money as Zara. How much more money did Roshel have than Nicole in the end?

Nicole	Zara	Roshel
2x4 = 8 u	5x4 = 20 u
	4x5 = 20 u	5x5 = 25 u
8 u	20 u	25 u

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

	Nicole	Zara	Roshel
Before	8 u	20 u	25 u
Change	No change	+ 95	- 95
After	8 u	20 u + 95	25 u - 95

The amount that Roshel and Zara had in the end is the same.

25 u - 95 = 20 u + 95
25 u - 20 u = 95 + 95 
5 u = 190

1 u = 190 ÷ 5 = 38

Amount that Roshel had more than Nicole in the end
= 25 u - 95 - 8 u
= 17 u - 95
= 17 x 38 - 95
= 646 - 95
= $551

Answer(s): $551