Mrs Ee gave Betty and Kimberly some money each on Monday. On Tuesday, Betty gave ¹₃ of the amount she had to Kimberly. On Wednesday, Kimberly gave ¹₄ of the amount she had to Betty. In the end, Betty had $19 and Kimberly had $15. How much did Kimberly had more than Betty at first?

	Betty	Kimberly	Total
Before 1	3 u	?	$34
Change 1	- 1 u	+ 1 u
After 1	2 u	4 p	$34
Before 2	$19 - 1 p	4 p	$34
Change 2	+ 1 p	- 1 p
After 2	$19	3 p ($15)	$34

Amount that Kimberly had in the end = 3 p

3 p = 15

1 p = 15 ÷ 3 = 5

Working backwards.

Amount that Betty had after giving to Kimberly on Tuesday
= 19 - 1 p
= 19 - 5
= $14

2 u = 14

1 u = 14 ÷ 2 = 7

Amount that Betty had at first
= 3 u
= 3 x 7
= $21

Total amount that Betty and Kimberly had 
= 19 + 15
= $34

Amount that Kimberly had at first
= 34 - 21
= $13

Amount that Betty had more than Kimberly
= 21 - 13 
= $8

Answer(s): $8