Question

Write a system of equations to describe the situation below, solve using substitution, and fillin the blanks.Reagan wrote a business plan for an entrepreneurship class, and now she has to make boundcopies. Reagan could use a printer who charges a setup fee of $38 and $3 for every copyprinted. Another possibility is to go to the office supply store, where she could pay an up-front fee of $29 and $6 per copy. There is a certain number of copies that makes the twooptions equivalent in terms of cost. How much would the copies cost? How many copies isthat?

Answer 1

Let the number of copies be x;

The printer would charge ;

$3x+38$

The office store would cost ;

$6x+29$

For the cost to be equivalent;

$\begin{gathered} 6x+29=3x+38 \\ 3x=9 \\ x=3 \end{gathered}$

Thus the number of copies is 3;

The number of copies is 3(3)+38 = $47