Question

3. The table below shows the rates for two duplicating companies.

For what number of pages will the two duplicating stores charge the same amount?

Answer 1

250 pages

Explanation:

Write an expression for the cost of x pages for each of the companies. Then set the expressions equal, and solve for x, the number of pages.

Quick Copy: 5 + 0.06x

Copy Place: 10 + 0.04x

5 + 0.06x = 10 + 0.04x

0.02x = 5

x = 5/0.02

x = 250

Answer: 250 pages

Check

Quick Copy: 5 + 0.06(250) = 5 + 15 = 20

Copy Place: 10 + 0.04(250) = 10 + 10 = 20

For 250 copies, both places cost $20. 250 copies is the correct answer.