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In printing an article of 21,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,200 words. Using the small type, a page contains 1,500worda. The article is alloted 16 full pages in a magazine. How many pages must be in the larger type?

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  1. if there are b bigs and s smalls, we have

    b+s = 16
    1200b + 1500s = 21000

    since s = 16-b, we have

    1200b + 1500(16-b) = 21000
    or,
    12b + 15(16-b) = 210
    12b + 240-15b = 210
    3b = 30
    b = 10

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