Kylie, Xandra and Emma had a sum of money. The amount of money Kylie had was ²₃ of the amount of money Xandra had. The ratio of the amount of money Xandra had to the total amount of money Emma and Xandra had was 2: 5. After Emma gave $15 to Xandra, she had as much money as Xandra. How much more money did Emma have than Kylie in the end?

Kylie	Xandra	Emma
2x2 = 4 u	3x2 = 6 u
	2x3 = 6 u	3x3 = 9 u
4 u	6 u	9 u

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

	Kylie	Xandra	Emma
Before	4 u	6 u	9 u
Change	No change	+ 15	- 15
After	4 u	6 u + 15	9 u - 15

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

9 u - 15 = 6 u + 15
9 u - 6 u = 15 + 15 
3 u = 30

1 u = 30 ÷ 3 = 10

Amount that Emma had more than Kylie in the end
= 9 u - 15 - 4 u
= 5 u - 15
= 5 x 10 - 15
= 50 - 15
= $35

Answer(s): $35