Diana spent $114 on some pens, staplers and markers. The number of pens she bought was ²₃ the number of staplers. The number of markers she bought was ⁴₅ the number of staplers. The ratio of the amount of money she spent on the pens, staplers and markers was 5 : 7 : 7. The staplers were sold at 5 for $7. Find the price of 1 pen.

Amount spent
Pens	Staplers	Markers	Total
5 u	7 u	7 u	$114

Total amount that Diana spent on pens, staplers and markers
= 5 u + 7 u + 7 u
= 19 u

19 u = 114

1 u = 114 ÷ 19 = 6

Amount that Diana spent on staplers
= 7 u
= 7 x 6
= $42

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

Number of staplers that Diana bought
= 6 x 5
= 30

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

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

Number of staplers that Diana bought = 15 p

15 p = 30

1 p = 30 ÷ 15 = 2

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

Amount that Diana spent on pens
= 5 u
= 5 x 6
= $30

Price of 1 pen
= 30 ÷ 20
= $1.50

Answer(s): $1.50