How many pages need to be printed for the cost of the two printers to be the same?

Question

Printer A cost $200/ prints $.04 per page.Printer B cost $300 prints $.01 per page. How many pages need to be printed for the cost of the two printers to be the same?

Answer 1

p represents the number of pages.

A: 200 + 0.4p

B: 300 + 0.1p

 

A = B

200 + 0.4p = 300 + 0.1p

0.4p = 100 + 0.1p             subtract 200 from both sides

0.5p = 100                         subtract 0.1p from both sides

p = 200                             divide both sides by 0.5

 

At 100 pages the cost is the same.