Mrs Heng gave Victoria and Natalie some money each on Tuesday. On Wednesday, Victoria gave ¹₅ of the amount she had to Natalie. On Thursday, Natalie gave ¹₄ of the amount she had to Victoria. In the end, Victoria had $44 and Natalie had $12. How much did Natalie had more than Victoria at first?

	Victoria	Natalie	Total
Before 1	5 u	?	$56
Change 1	- 1 u	+ 1 u
After 1	4 u	4 p	$56
Before 2	$44 - 1 p	4 p	$56
Change 2	+ 1 p	- 1 p
After 2	$44	3 p ($12)	$56

Amount that Natalie had in the end = 3 p

3 p = 12

1 p = 12 ÷ 3 = 4

Working backwards.

Amount that Victoria had after giving to Natalie on Wednesday
= 44 - 1 p
= 44 - 4
= $40

4 u = 40

1 u = 40 ÷ 4 = 10

Amount that Victoria had at first
= 5 u
= 5 x 10
= $50

Total amount that Victoria and Natalie had 
= 44 + 12
= $56

Amount that Natalie had at first
= 56 - 50
= $6

Amount that Victoria had more than Natalie
= 50 - 6 
= $44

Answer(s): $44