Gabby spent $128 on some pens, notebooks and staplers. The number of pens she bought was ¹₄ the number of notebooks. The number of staplers she bought was ¹₅ the number of notebooks. The ratio of the amount of money she spent on the pens, notebooks and staplers was 7 : 6 : 3. The notebooks were sold at 5 for $6. Find the price of 1 pen.

Amount spent
Pens	Notebooks	Staplers	Total
7 u	6 u	3 u	$128

Total amount that Gabby spent on pens, notebooks and staplers
= 7 u + 6 u + 3 u
= 16 u

16 u = 128

1 u = 128 ÷ 16 = 8

Amount that Gabby spent on notebooks
= 6 u
= 6 x 8
= $48

Number of sets of notebooks of 5 bought
= 48 ÷ 6
= 8

Number of notebooks that Gabby bought
= 8 x 5
= 40

Number of items bought
Pens	Notebooks	Staplers	Total
1x5	4x5
	5x4	1x4
5 p	20 p	4 p	29 p

The number of notebooks bought is repeated.  Make the number of notebooks bought is the same.  LCM of 4 and 5 is 20.

Number of notebooks that Gabby bought = 20 p

20 p = 40

1 p = 40 ÷ 20 = 2

Number of pens that Gabby bought
= 5 p
= 5 x 2
= 10

Amount that Gabby spent on pens
= 7 u
= 7 x 8
= $56

Price of 1 pen
= 56 ÷ 10
= $5.60

Answer(s): $5.60