Question

The total cost of four pens and seven mechanical pencils is $13.25. The cost of each pencil is 75 cents.

Answer 1

Pens cost $2/each

Explanation:

We can produce an equation from this question, it is as follows:

`4p + 7m = 13.25`

P = The cost of pens

M = The cost of mechanical pencils

In the question it is stated that each mechanical pencil is 75 cents. We can plug that into the equation like this:

`4p + 7(.75) = 13.25`

Now, we just solve the equation:

`4p + 5.25 = 13.25\\4p = 8\\p = 2`

Therefore, each pen costs $2.

Let's check this answer by plugging everything into the equation:

`4(2) + 7(.75) = 13.25\\8 + 5.25 = 13.25 \\13.25 = 13.25`

I hope this helps!

If you have any questions feel free to ask!

- Kay :)