Kimberly spent $170 on some files, notebooks and pens. The number of files she bought was ¹₂ the number of notebooks. The number of pens she bought was ²₅ the number of notebooks. The ratio of the amount of money she spent on the files, notebooks and pens was 6 : 8 : 3. The notebooks were sold at 5 for $5. Find the price of 1 file.

Amount spent
Files	Notebooks	Pens	Total
6 u	8 u	3 u	$170

Total amount that Kimberly spent on files, notebooks and pens
= 6 u + 8 u + 3 u
= 17 u

17 u = 170

1 u = 170 ÷ 17 = 10

Amount that Kimberly spent on notebooks
= 8 u
= 8 x 10
= $80

Number of sets of notebooks of 5 bought
= 80 ÷ 5
= 16

Number of notebooks that Kimberly bought
= 16 x 5
= 80

Number of items bought
Files	Notebooks	Pens	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 Kimberly bought = 10 p

10 p = 80

1 p = 80 ÷ 10 = 8

Number of files that Kimberly bought
= 5 p
= 5 x 8
= 40

Amount that Kimberly spent on files
= 6 u
= 6 x 10
= $60

Price of 1 file
= 60 ÷ 40
= $1.50

Answer(s): $1.50