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11 June, 15:51

Of the 1850 books in the library there are four times as many books in the fiction section as are in the nonfiction section Also there are 650 more books in the reference section than are in the nonfiction section. How many books are in each section

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  1. 11 June, 16:47
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    Number of books in non fiction section = 200

    Number of books in fiction section = 800

    Number of books in reference section = 850

    Step-by-step explanation:

    Total number of books in the library = 1850

    Let us assume, number of books in non fiction section = m

    Number of books in fiction section = 4 x Number of books in non fiction

    = 4 x (m)

    So, the number of books in reference section = 650 + m

    Now, Total Number of books = Number of { Fiction + Non - Fiction + Reference} Books

    or, 1850 = m + (4 m) + 650 + m

    or, 6 m + 650 = 1850

    ⇒ 6 m = 1850 - 650 = 1200

    or, m = 1200 / 6 = 200

    ⇒ m = 200

    Hence, the number of books in non fiction section = 200

    Number of books in fiction section = 4 m = 4 x 200 = 800

    Number of books in reference section = 650 + m = 200 + 650 = 850
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