Vanessa spent $84 on some files, notebooks and markers. The number of files she bought was ¹₂ the number of notebooks. The number of markers she bought was ²₅ the number of notebooks. The ratio of the amount of money she spent on the files, notebooks and markers was 3 : 5 : 6. The notebooks were sold at 5 for $5. Find the price of 1 file.

Amount spent
Files	Notebooks	Markers	Total
3 u	5 u	6 u	$84

Total amount that Vanessa spent on files, notebooks and markers
= 3 u + 5 u + 6 u
= 14 u

14 u = 84

1 u = 84 ÷ 14 = 6

Amount that Vanessa spent on notebooks
= 5 u
= 5 x 6
= $30

Number of sets of notebooks of 5 bought
= 30 ÷ 5
= 6

Number of notebooks that Vanessa bought
= 6 x 5
= 30

Number of items bought
Files	Notebooks	Markers	Total
1x5	2x5
	5x2	2x2
5 p	10 p	4 p	19 p

The number of notebooks bought is repeated.  Make the number of notebooks bought is the same.  LCM of 2 and 5 is 10.

Number of notebooks that Vanessa bought = 10 p

10 p = 30

1 p = 30 ÷ 10 = 3

Number of files that Vanessa bought
= 5 p
= 5 x 3
= 15

Amount that Vanessa spent on files
= 3 u
= 3 x 6
= $18

Price of 1 file
= 18 ÷ 15
= $1.20

Answer(s): $1.20