Zara spent $95 on some pencils, files and markers. The number of pencils she bought was ¹₂ the number of files. The number of markers she bought was ²₅ the number of files. The ratio of the amount of money she spent on the pencils, files and markers was 6 : 8 : 5. The files were sold at 5 for $5. Find the price of 1 pencil.

Amount spent
Pencils	Files	Markers	Total
6 u	8 u	5 u	$95

Total amount that Zara spent on pencils, files and markers
= 6 u + 8 u + 5 u
= 19 u

19 u = 95

1 u = 95 ÷ 19 = 5

Amount that Zara spent on files
= 8 u
= 8 x 5
= $40

Number of sets of files of 5 bought
= 40 ÷ 5
= 8

Number of files that Zara bought
= 8 x 5
= 40

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

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

Number of files that Zara bought = 10 p

10 p = 40

1 p = 40 ÷ 10 = 4

Number of pencils that Zara bought
= 5 p
= 5 x 4
= 20

Amount that Zara spent on pencils
= 6 u
= 6 x 5
= $30

Price of 1 pencil
= 30 ÷ 20
= $1.50

Answer(s): $1.50