Question

Paulie ordered 250 pens and 250 pencils. The pens cost 11 cents more then the pencils. If her order costs 42.50 how much does it cost of each pen and pencil. I need help ASAP!!!!

Answer 1

The cost of each pen is $0.14 and the cost of each pencil is $0.03.

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
`x.`

So, the price of 250 pencils =
`250x.`

And the price of a pen be
`x+0.11.`

Thus, the price of 250 pens =
`250(x+0.11).`

Now, to get the cost of each pen and pencil:

According to question:

`250x+250(x+0.11)=42.50`

`250x+250x+27.50=42.50`

`500x+27.50=42.50`

Subtracting both sides by 27.50 we get:

`500x=15`

Dividing both sides by 500 we get:

`x=0.03`

So, the price of a pencil = $0.03.

And the price of a pen =
`x+11=0.03+0.11=\$0.14.`

Therefore, the cost of each pen is $0.14 and the cost of each pencil is $0.03.