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Admission for a movie is $8 for children and $12 for adults. On a certain day, 3200 people attend the movie theater and $33,040 is collected.

How many children and how many adults attended the movies?

children

adults

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  1. 1 June, 03:01
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    Let us assume the number of children attending the movie = x

    Let us also assume the number of adults attending the movie = y

    Cost of admission for a children in the movie = $8

    Cost of admission of an adult in the movie = $12

    Number of people going to the movie on a certain day = 3200

    Total amount collected from the movie theater = $33040

    Then

    x + y = 3200

    And

    8x + 12y = 33040

    2x + 3y = 8260

    Let us first take the equation

    x + y = 3200

    x = 3200 - y

    Now we will put the value of x in the equation

    2x + 3y = 8260

    2 (3200 - y) + 3y = 8260

    6400 - 2y + 3y = 8260

    y = 8260 - 6400

    = 1860

    Now we will put the value of y from the above deduction in the equation

    x + y = 3200

    x + 1860 = 3200

    x = 3200 - 1860

    = 1340

    So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.
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