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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 30 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.

Respuesta :

Blitztiger
Multiply the first equation by 1.5, to get:
[tex](1.5)(24b + 4c) = 1.5(2.5)[/tex]
[tex]36b + 6c = 3.75[/tex]
Subtract the second equation from this:
[tex]6b = 1/2[/tex]
[tex]b = 1/12[/tex]
Substituting into the first equation:
[tex]24b + 4c = 2.5[/tex]
[tex]24*(1/12) + 4c = 2.5[/tex]
[tex]2 + 4c = 2.5[/tex]
[tex]4c = 0.5[/tex]
[tex]c = 1/8[/tex]
Therefore, it takes 1/12 minute to print a black-and-white page, and 1/8 minute to print a colored page.
Drynoodul

Answer:

1/12

1/8

Step-by-step explanation:

E2020 :))))))

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