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It takes a printer 21 2 min to print 24 black-and-white pages and 4 color pages. It takes the same printer 31 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.

Respuesta :

Multiply the first equation by 1.5, to get:

(1.5)(24b+4c)+ 1.5 (2.5)

36b + 6c+ 3.75

Subtract the secound equation from this:

6b+ 1/2

b= 1/12

Substituting into the first equation:

24b + 4c +2.5

24* (1/12) +4c +2.5

2+4 +2.5

4c+o.5

c+ 1/8

Therefore, it takes 1/12 minute to print a black-and-white page, and 1/8 minute to print a colored page.





vijayhalder031

The correct answer is as follows

  • b = 2/3
  • c = 49

What is Elimination Method?

  • The Elimination method is described as eliminating any one variable term by Adding or subtracting the two equation.

How to solve this problem?

The problem can be solved by various steps

  • b represents time in minutes and need to print black and white pages
  • c represents time in minutes and need to print colors pages

Therefore

24b+4c=212 (1)

30b+6c=314 (2)

Multiplying Equation (1) by 3 and Equation (2) by 2

We get , 72b +12c = 636

              60b +12c = 628

Eliminating the variable c we will get the value of b = 2/3

Now Substituting the value of b in equation 1

24(2/3)+4c =212

Therefore ,

16 +4c = 212

Therefore 4c = 196

Hence The value of c = 49

Learn more about elimination method here

https://brainly.com/question/19052727

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