Hazel spent $84 on some files, markers and pencils. The number of files she bought was ¹₂ the number of markers. The number of pencils she bought was ¹₅ the number of markers. The ratio of the amount of money she spent on the files, markers and pencils was 3 : 5 : 6. The markers were sold at 2 for $6. Find the price of 1 file.

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

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

14 u = 84

1 u = 84 ÷ 14 = 6

Amount that Hazel spent on markers
= 5 u
= 5 x 6
= $30

Number of sets of markers of 2 bought
= 30 ÷ 6
= 5

Number of markers that Hazel bought
= 5 x 2
= 10

Number of items bought
Files	Markers	Pencils	Total
1x5	2x5
	5x2	1x2
5 p	10 p	2 p	17 p

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

Number of markers that Hazel bought = 10 p

10 p = 10

1 p = 10 ÷ 10 = 1

Number of files that Hazel bought
= 5 p
= 5 x 1
= 5

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

Price of 1 file
= 18 ÷ 5
= $3.60

Answer(s): $3.60