Aprinting company charges $42 plus $0.05 per page. another company just charges $0.08 per page. how many pages are in an order that costs the same regardless of which company is used?

There should be 1,400 pages in an order that costs the same for both companies.

Let x be the unknown number of pages.

1st Company = 42 + 0.05x
2nd Company = 0.08x

0.08x = 42 + 0.05x
0.08x - 0.05x = 42
0.03x = 42
0.03x / 0.03 = 42 / 0.03
x = 1400 pages

To check

0.08x = 42 + 0.05x
0.08 (1400) = 42 + (0.05 * 1400)
112 = 42 + 70
112 = 112

The variables should add up to equal 1