Answer:
The cost of each pen is $0.14 and the cost of each pencil is $0.03.
Step-by-step explanation:
Given:
Paulie ordered 250 pens and 250 pencils.
The pens cost 11 cents more than the pencils.
Her order costs $42.50.
Now, to find the cost of each pen and pencil.
Let the price of a pencil be [tex]x.[/tex]
So, the price of 250 pencils = [tex]250x.[/tex]
And the price of a pen be [tex]x+0.11.[/tex]
Thus, the price of 250 pens = [tex]250(x+0.11).[/tex]
Now, to get the cost of each pen and pencil:
According to question:
[tex]250x+250(x+0.11)=42.50[/tex]
[tex]250x+250x+27.50=42.50[/tex]
[tex]500x+27.50=42.50[/tex]
Subtracting both sides by 27.50 we get:
[tex]500x=15[/tex]
Dividing both sides by 500 we get:
[tex]x=0.03[/tex]
So, the price of a pencil = $0.03.
And the price of a pen = [tex]x+11=0.03+0.11=\$0.14.[/tex]
Therefore, the cost of each pen is $0.14 and the cost of each pencil is $0.03.
