Mrs Chia gave Kimberly and Irene some money each on Monday. On Tuesday, Kimberly gave ¹₄ of the amount she had to Irene. On Wednesday, Irene gave ¹₃ of the amount she had to Kimberly. In the end, Kimberly had $23 and Irene had $10. How much did Irene had more than Kimberly at first?

	Kimberly	Irene	Total
Before 1	4 u	?	$33
Change 1	- 1 u	+ 1 u
After 1	3 u	3 p	$33
Before 2	$23 - 1 p	3 p	$33
Change 2	+ 1 p	- 1 p
After 2	$23	2 p ($10)	$33

Amount that Irene had in the end = 2 p

2 p = 10

1 p = 10 ÷ 2 = 5

Working backwards.

Amount that Kimberly had after giving to Irene on Tuesday
= 23 - 1 p
= 23 - 5
= $18

3 u = 18

1 u = 18 ÷ 3 = 6

Amount that Kimberly had at first
= 4 u
= 4 x 6
= $24

Total amount that Kimberly and Irene had 
= 23 + 10
= $33

Amount that Irene had at first
= 33 - 24
= $9

Amount that Kimberly had more than Irene
= 24 - 9 
= $15

Answer(s): $15