Mrs Neo gave Kimberly and Cathy some money each on Tuesday. On Wednesday, Kimberly gave ¹₃ of the amount she had to Cathy. On Thursday, Cathy gave ¹₆ of the amount she had to Kimberly. In the end, Kimberly had $14 and Cathy had $10. How much did Cathy had more than Kimberly at first?

	Kimberly	Cathy	Total
Before 1	3 u	?	$24
Change 1	- 1 u	+ 1 u
After 1	2 u	6 p	$24
Before 2	$14 - 1 p	6 p	$24
Change 2	+ 1 p	- 1 p
After 2	$14	5 p ($10)	$24

Amount that Cathy had in the end = 5 p

5 p = 10

1 p = 10 ÷ 5 = 2

Working backwards.

Amount that Kimberly had after giving to Cathy on Wednesday
= 14 - 1 p
= 14 - 2
= $12

2 u = 12

1 u = 12 ÷ 2 = 6

Amount that Kimberly had at first
= 3 u
= 3 x 6
= $18

Total amount that Kimberly and Cathy had 
= 14 + 10
= $24

Amount that Cathy had at first
= 24 - 18
= $6

Amount that Kimberly had more than Cathy
= 18 - 6 
= $12

Answer(s): $12