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23 April, 11:48

Julie read 1/2 of a book in the morning, and she read some more at night. By the end of the day, she still had 2/5 of the book left to read. How much of the book did julie read at night?

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  1. 23 April, 12:06
    0
    Answer: she read 1/10 of the book at night.

    Step-by-step explanation:

    Let x represent how much of the book that Julie read at night.

    Julie read 1/2 of a book in the morning, and she read some more at night. This means that she has read

    1/2 + x = (1 + 2x) / 2 of the book by night. The portion of the book remaining would be

    1 - (1 + 2x) / 2 = [2 - (1 + 2x) ]/2

    = (1 - 2x) / 2

    By the end of the day, she still had 2/5 of the book left to read. Therefore,

    (1 - 2x) / 2 = 2/5

    Cross multiplying,

    5 (1 - 2x) = 2 * 2

    5 - 10x = 4

    10x = 5 - 4 = 1

    x = 1/10
  2. 23 April, 12:18
    0
    1/10

    Step-by-step explanation:

    Julie read 5/10 in the morning and had 4/10 left to read after what she read at night. At night, she read ...

    1 - 1/2 - 2/5 = 10/10 - 5/10 - 4/10 = 1/10

    Julie read 1/10 of the book at night.
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