# An office equipment company rents copier a monthly fee plus a fee per copy. Julie Simms rents a copier and was charged $175 for making 1500 copies in March and$223 for making 2300 copies in April. What is the fee per copy?

Nov 6, 2016

The cost would be $0.0625 or $6.25$cents per copy #### Explanation: Let $x$be the cost per copy and $y$be the monthly fee. In March the cost was $175 which equals the fee $\left(y\right)$ plus the cost per copy $\left(x\right)$ times the number of copies $\left(1500\right)$. The two equations would be:

$175 = 1500x + y" " and " "$225 = 2300x + y

Solve each for $y$. You would get

y = $175 - 1500x" " and " " y =$225 - 2300x

Since $y = y$, you can let the equations equal each other

$175 - 1500x =$225 - 2300x

Add $2300 x$ to each side and you get

$175 + 800x =$225

Subtract $175 from bot sides gives you 800x =$50

Divide both sides by $800$ and the cost per copy

x = $0.0625 Putting this back into the equation, y =$81.25 per month.