The theater manager calculated the total revenue for the night to be $5940 a total of 608 movie tickets and popcorn we’re sold a movie ticke

Question

The theater manager calculated the total revenue for the night to be $5940 a total of 608 movie tickets and popcorn we’re sold a movie ticket cost $11 and popcorn cost $4.20 how many movie tickets were sold

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Elliana 2 weeks 2021-09-10T19:39:26+00:00 1 Answer 0

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    2021-09-10T19:40:55+00:00

    Answer:498 movie tickets were sold.

    Step-by-step explanation:

    Let x represent the number of movie tickets that were sold.

    Let y represent the number of popcorns that were sold.

    A total of 608 movie tickets and popcorn were sold. It means that

    x + y = 608

    A movie ticket cost $11 and popcorn cost $4.20. The theater manager calculated the total revenue for the night to be $5940. It means that

    11x + 4.2y = 5940- – – – – – – – – -1

    Substituting x = 608 – y into equation 1, it becomes

    11(608 – y) + 4.2y = 5940

    6688 – 11y + 4.2y = 5940

    – 11y + 4.2y = 5940 – 6688

    – 6.8y = – 748

    y = – 748/- 6.8

    y = 110

    x = 608 – y = 608 – 110

    x = 498

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