Question

Company A rents copy machines for $300 a month plus $0.05 per copy. Company B charges $600 a month plus $0.01 per copy. For which number of copies do the two companies charge the same amount?

Answer 1

7,500 copies

Explanation:

First, write the problems as equations. There will be one variable: copies (c):

Company A: .05c + 300

Company B: .01c + 600

In order to find when the companies charge the same amount, Company A = Company B. Using the transitive property you get:

Company A = Company B

.05c + 300 = .01c + 600

Now, you just need to solve for c:

.05c + 300 = .01c + 600

.05c = .01c + 300

.04c = 300

c = 7,500

In conclusion, the companies will charge the same amount of money when 7,500 copies are made in a month.