Min spent $126 on some pens, pencils and staplers. The number of pens she bought was ²₃ the number of pencils. The number of staplers she bought was ⁴₅ the number of pencils. The ratio of the amount of money she spent on the pens, pencils and staplers was 7 : 6 : 5. The pencils were sold at 5 for $7. Find the price of 1 pen.

Amount spent
Pens	Pencils	Staplers	Total
7 u	6 u	5 u	$126

Total amount that Min spent on pens, pencils and staplers
= 7 u + 6 u + 5 u
= 18 u

18 u = 126

1 u = 126 ÷ 18 = 7

Amount that Min spent on pencils
= 6 u
= 6 x 7
= $42

Number of sets of pencils of 5 bought
= 42 ÷ 7
= 6

Number of pencils that Min bought
= 6 x 5
= 30

Number of items bought
Pens	Pencils	Staplers	Total
2x5	3x5
	5x3	4x3
10 p	15 p	12 p	37 p

The number of pencils bought is repeated.  Make the number of pencils bought is the same.  LCM of 3 and 5 is 15.

Number of pencils that Min bought = 15 p

15 p = 30

1 p = 30 ÷ 15 = 2

Number of pens that Min bought
= 10 p
= 10 x 2
= 20

Amount that Min spent on pens
= 7 u
= 7 x 7
= $49

Price of 1 pen
= 49 ÷ 20
= $2.45

Answer(s): $2.45