It takes a printer 2 1/2 min to print 24 black-and-white pages and 4 color pages. It takes the same printer 3 1/4 min to print 3
0 black-and-white pages and 6 color pages. Let b represent the time in minutes needed to print a black-and-white page and c represent the time in minutes needed to print a color page.The shown system represents the given problem. 24b+4c=2 1/2
30b+6c=31/4
Solve the system to complete the statement.
It takes the printer min to print a black–and–white page and min to print a color page.
Multiply the first equation by 1.5, to get: Subtract the second equation from this: Substituting into the first equation: Therefore, it takes 1/12 minute to print a black-and-white page, and 1/8 minute to print a colored page.