Olivia, Risa and Jen had a sum of money. The amount of money Olivia had was ²₅ of the amount of money Risa had. The ratio of the amount of money Risa had to the total amount of money Jen and Risa had was 4: 9. After Jen gave $65 to Risa, she had as much money as Risa. How much more money did Jen have than Olivia in the end?

Olivia	Risa	Jen
2x4 = 8 u	5x4 = 20 u
	4x5 = 20 u	5x5 = 25 u
8 u	20 u	25 u

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

	Olivia	Risa	Jen
Before	8 u	20 u	25 u
Change	No change	+ 65	- 65
After	8 u	20 u + 65	25 u - 65

The amount that Jen and Risa had in the end is the same.

25 u - 65 = 20 u + 65
25 u - 20 u = 65 + 65 
5 u = 130

1 u = 130 ÷ 5 = 26

Amount that Jen had more than Olivia in the end
= 25 u - 65 - 8 u
= 17 u - 65
= 17 x 26 - 65
= 442 - 65
= $377

Answer(s): $377