Q:

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Logan wrote a business plan for an entrepreneurship class, and now he has to make bound copies. Logan could use a printer who charges a setup fee of $42 and $4 for every copy printed. Another possibility is to go to the office supply store, where he could pay an up-front fee of $30 and $8 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How many copies is that? How much would the copies cost?For ____copies, the cost is $____

Accepted Solution

A:
Set up two equations:Printer: 42 + 4CSupply Store: 30 + 8CC = number of copies.Now set them equal to each other and solve for C.42 + 4C = 30 + 8C Subtract 4C from each side:42 = 30 + 4CSubtract 30 from each side:12 = 4CDivide each side by 4:C = 12/4C = 3For 3 copies, the cost is $54