Question

A small company has one color printer and one black-and-white printer, each printing at different rates. The color printer, working for 5 minutes, and the black-and-white printer, working for 3 minutes, print a total of 70 pages. When the black-and-white printer worked for 6 minutes and the color printer worked for 9 minutes, they printed a total of 135 pages.

How many pages per minute does the black-and-white printer print?

A) 11 pages per minute
B) 12 pages per minute
C) 15 pages per minute
D) 18 pages per minute

Answer 1

To find the number of pages per minute that the black-and-white printer can print, set up a system of equations and solve for x. The black-and-white printer can print 15 pages per minute.

Step-by-step explanation:

To find the number of pages per minute that the black-and-white printer can print, we need to set up a system of equations using the given information.

Let x be the number of pages per minute the black-and-white printer can print.

From the first scenario, we can write the equation: 5(x) + 3(0) = 70

From the second scenario, we can write the equation: 9(x) + 6(0) = 135

Solving these equations, we find that x = 15, so the black-and-white printer can print 15 pages per minute.