Maths

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20% of the books in a library were fiction books while the rest were non-fiction books. When 30% of the fiction books and 15% of the non-fiction books were borrowed, there were 1312 books left in the library. How many books were borrowed?
(Please show me your workings clearly.)

  • Maths -

    X books in Lib.
    Fiction = 0.2x books.
    Non-fiction = 0.8x. books.

    0.7(0.2x) + 0.85(0.8x) = 1312.
    0.14x + 0.68x = 1312
    0.82x = 1312
    X = 1600.

    0.2x = 320.
    0.8x = 1280.

    Books Borrowed = 1600 - 1312 = 288.

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