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21 May, 12:27

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.

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  1. 21 May, 15:48
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    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.
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