MATH

20% books in the library is fiction books and the rest were non fiction books.when 30% of the fiction book and 15% of non fiction books were borrowed,there were 1132 books left.How many books was borrowed?

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  1. total number of books in library ---- x

    fiction = .2x
    non-fiction= .8x

    30% of fiction were borrowed, leaving (.7)(.2x) fiction books
    15% of non-fiction were borrowed, leaving (.85)(.8x) non-fiction books

    (.7)(.2x) + (.85)(.8x) = 1132
    .14x + .68x = 1132
    .82x = 1132
    x = 1132/.82 = 1380.48 ( I was expecting a whole number)
    There were 1380 books and 1132 were left, which means
    that 1380-1132 or 248 were borrowed

    check:
    if there were 1380 books
    then 276 were fiction and 1104 were nonfiction
    30 % of 276 or 83 fiction are out, leaving 193 fiction
    15% of 1104 or 166 non-fiction books are out, leaving 938 non-fiction books

    sum of remaining books = 193 + 938 = 1131
    sum of books borrowed = 83 + 166 = 249

    Had I carried decimals in my check calculations, which would be silly since we can't have partial books, the result would have been accurate. The way it is, there seems to be a flaw in the data)

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  2. Sam read then books over the summer four were nonfiction the rest were fiction what percentage were fiction

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