Kathy, Sabrina and Cindy had a sum of money. The amount of money Kathy had was ²₃ of the amount of money Sabrina had. The ratio of the amount of money Sabrina had to the total amount of money Cindy and Sabrina had was 2: 5. After Cindy gave $63 to Sabrina, she had as much money as Sabrina. How much more money did Cindy have than Kathy in the end?

Kathy	Sabrina	Cindy
2x2 = 4 u	3x2 = 6 u
	2x3 = 6 u	3x3 = 9 u
4 u	6 u	9 u

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

	Kathy	Sabrina	Cindy
Before	4 u	6 u	9 u
Change	No change	+ 63	- 63
After	4 u	6 u + 63	9 u - 63

The amount that Cindy and Sabrina had in the end is the same.

9 u - 63 = 6 u + 63
9 u - 6 u = 63 + 63 
3 u = 126

1 u = 126 ÷ 3 = 42

Amount that Cindy had more than Kathy in the end
= 9 u - 63 - 4 u
= 5 u - 63
= 5 x 42 - 63
= 210 - 63
= $147

Answer(s): $147