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20 April, 10:43

Ari watched 1 4 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Ari watch at night?

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  1. 20 April, 12:38
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    Answer: Ari watched 5/12 of the movie at night.

    Step-by-step explanation:

    Let x represent the portion of the movie that Ari watched at night.

    Ari watched 1 4 of a movie in the morning, and she watched some more at night. It means that the total portion she has watched already is 1/4 + x

    The portion of the movie remaining for her to watch is

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

    By the end of the day, she still had 1 3 of the movie left to watch. It means that

    1/3 = 1 - (1 + 4x) / 4

    1/3 = (4 - 1 - 4x) / 4

    1/3 = (3 - 4x) / 4

    Cross multiplying by 3, it becomes

    1 = 3 (3 - 4x) / 4

    Multiplying through by 4, it becomes

    4 = 3 (3 - 4x)

    4 = 9 - 12x

    12x = 9 - 4

    12x = 5

    x = 5/12
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