Julie, Anna and Opal had a sum of money. The amount of money Julie had was ²₃ of the amount of money Anna had. The ratio of the amount of money Anna had to the total amount of money Opal and Anna had was 2: 5. After Opal gave $69 to Anna, she had as much money as Anna. How much more money did Opal have than Julie in the end?

Julie	Anna	Opal
2x2 = 4 u	3x2 = 6 u
	2x3 = 6 u	3x3 = 9 u
4 u	6 u	9 u

The amount that Anna had is the repeated identity. Make the amount that Anna had the same.  LCM of 3 and 2 is 6.

	Julie	Anna	Opal
Before	4 u	6 u	9 u
Change	No change	+ 69	- 69
After	4 u	6 u + 69	9 u - 69

The amount that Opal and Anna had in the end is the same.

9 u - 69 = 6 u + 69
9 u - 6 u = 69 + 69 
3 u = 138

1 u = 138 ÷ 3 = 46

Amount that Opal had more than Julie in the end
= 9 u - 69 - 4 u
= 5 u - 69
= 5 x 46 - 69
= 230 - 69
= $161

Answer(s): $161