The juniors sold the student tickets for $3 and he adult tickets for $8 use a to represent the number of tickets that were sold. In total 30

Question

The juniors sold the student tickets for $3 and he adult tickets for $8 use a to represent the number of tickets that were sold. In total 300 tickets were sold. After paying back the investors, the profit was $775. If the juniors initially received a total of $210 from investors , how many tickets of each type did the students sell?

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Eliza 20 hours 2021-09-11T19:24:03+00:00 1 Answer 0

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    2021-09-11T19:25:21+00:00

    Answer: 283 student tickets and 17 adult tickets were sold.

    Step-by-step explanation:

    Let x represent the number of student tickets that they sold.

    Let y represent the number of adult tickets that they sold.

    In total 300 tickets were sold. It means that

    x + y = 300

    The juniors sold the student tickets for $3 and he adult tickets for $8. After paying back the investors, the profit was $775. If the juniors initially received a total of $210 from investors, it means that the total revenue from the ticket sales is

    775 + 210 = 985

    The expression becomes

    3x + 8y = 985- – – – – – – – – – -1

    Substituting x = 300 – y into equation 1, it becomes

    3(300 – y) + 8y = 985

    900 – 3y + 8y = 985

    – 3y + 8y = 985 – 900

    5y = 85

    y = 85/5

    y = 17

    x = 300 – y = 300 – 17

    x = 283

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