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17 January, 07:37

Tanner watched 1/4 of a movie in the morning, and he watched some at night. By the end of the day, he still had 2/3 of the movie to watch. How much of the movie did he watch at night?

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  1. 17 January, 10:21
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    Answer: he watched 1/12 of the movie at night.

    Step-by-step explanation:

    Let x represent how much of the movie that he watched at night.

    Tanner watched 1/4 of a movie in the morning, and he watched some at night. This means that she had already watched

    x + 1/4 = (4x + 1) / 4 of the movie by the end of the day. Therefore, what he has left to watch would be

    1 - (4x + 1) / 4 = [4 - (4x + 1) ]/4

    = (3 - 4x) / 4

    By the end of the day, he still had 2/3 of the movie to watch, it means that

    (3 - 4x) / 4 = 2/3

    Cross multiplying, it becomes

    3 (3 - 4x) = 4 * 2

    9 - 12x = 8

    12x = 1

    x = 1/12
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