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23 November, 00:56

A teacher has decided to take her fifth grade class to a play. The manager of the theater agreed to discount the regular $35 price of the ticket by $0.30 for each ticket sold. The cost of the bus, $480 , will be split equally among each of the students. How many students must attend to keep the cost per student at or below $35 ?

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  1. 23 November, 01:03
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    40 students

    Explanation:

    The cost of the bus is $480

    For x students, the cost of each ticket will be 35 - 0.30x

    The total cost of the tickets for x students will be x (35 - 0.30x)

    To find the number of students that will make the cost per student equal to $33, we solve for x:

    480 + x (35 - 0.30x) = 35

    x

    480 + x (35 - 0.30x) = 35x

    480 + 35x - 0.30x² = 35x

    480 = 0.30x²

    1,600 = x²

    40 = x

    The cost per student will be $35 if the number of students is 40; it will be less than $35 if the number of students is greater than 40.
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