Mrs Chiam gave Tiffany and Barbara some money each on Monday. On Tuesday, Tiffany gave ¹₅ of the amount she had to Barbara. On Wednesday, Barbara gave ¹₄ of the amount she had to Tiffany. In the end, Tiffany had $47 and Barbara had $9. How much did Barbara had more than Tiffany at first?

	Tiffany	Barbara	Total
Before 1	5 u	?	$56
Change 1	- 1 u	+ 1 u
After 1	4 u	4 p	$56
Before 2	$47 - 1 p	4 p	$56
Change 2	+ 1 p	- 1 p
After 2	$47	3 p ($9)	$56

Amount that Barbara had in the end = 3 p

3 p = 9

1 p = 9 ÷ 3 = 3

Working backwards.

Amount that Tiffany had after giving to Barbara on Tuesday
= 47 - 1 p
= 47 - 3
= $44

4 u = 44

1 u = 44 ÷ 4 = 11

Amount that Tiffany had at first
= 5 u
= 5 x 11
= $55

Total amount that Tiffany and Barbara had 
= 47 + 9
= $56

Amount that Barbara had at first
= 56 - 55
= $1

Amount that Tiffany had more than Barbara
= 55 - 1 
= $54

Answer(s): $54