Mrs Ee gave Cathy and Victoria some money each on Thursday. On Friday, Cathy gave ¹₅ of the amount she had to Victoria. On Saturday, Victoria gave ¹₃ of the amount she had to Cathy. In the end, Cathy had $29 and Victoria had $10. How much did Victoria had more than Cathy at first?

	Cathy	Victoria	Total
Before 1	5 u	?	$39
Change 1	- 1 u	+ 1 u
After 1	4 u	3 p	$39
Before 2	$29 - 1 p	3 p	$39
Change 2	+ 1 p	- 1 p
After 2	$29	2 p ($10)	$39

Amount that Victoria had in the end = 2 p

2 p = 10

1 p = 10 ÷ 2 = 5

Working backwards.

Amount that Cathy had after giving to Victoria on Friday
= 29 - 1 p
= 29 - 5
= $24

4 u = 24

1 u = 24 ÷ 4 = 6

Amount that Cathy had at first
= 5 u
= 5 x 6
= $30

Total amount that Cathy and Victoria had 
= 29 + 10
= $39

Amount that Victoria had at first
= 39 - 30
= $9

Amount that Cathy had more than Victoria
= 30 - 9 
= $21

Answer(s): $21