Sabrina spent $102 on some pencils, markers and pens. The number of pencils she bought was ¹₅ the number of markers. The number of pens she bought was ¹₂ the number of markers. The ratio of the amount of money she spent on the pencils, markers and pens was 5 : 6 : 6. The markers were sold at 5 for $9. Find the price of 1 pencil.

Amount spent
Pencils	Markers	Pens	Total
5 u	6 u	6 u	$102

Total amount that Sabrina spent on pencils, markers and pens
= 5 u + 6 u + 6 u
= 17 u

17 u = 102

1 u = 102 ÷ 17 = 6

Amount that Sabrina spent on markers
= 6 u
= 6 x 6
= $36

Number of sets of markers of 5 bought
= 36 ÷ 9
= 4

Number of markers that Sabrina bought
= 4 x 5
= 20

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

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

Number of markers that Sabrina bought = 10 p

10 p = 20

1 p = 20 ÷ 10 = 2

Number of pencils that Sabrina bought
= 2 p
= 2 x 2
= 4

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

Price of 1 pencil
= 30 ÷ 4
= $7.50

Answer(s): $7.50