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23 May, 16:32

The student council is sponsoring a concert as a fundraiser. Tickets are $3 for student and $5 for adults. The student council wants to raise at least $1000. If 200 students attend, how many adults must attend? Write and solve an inequality

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  1. 23 May, 17:00
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    Inequality is 3x + 5y ≥ 1000

    At least 80 adults must attend the fundraiser.

    Step-by-step explanation:

    Let the number of students = x and the number of adults = y.

    Also, each adult and student ticket is sold for $5 and $3.

    Since, the student council wants to raise at least $1000.

    The inequality representing the situation is,

    3x + 5y ≥ 1000

    We have total number of students attended the fundraiser are 200. So, x = 200.

    That is,

    3*200 + 5y ≥ 1000

    i. e. 600 + 5y ≥ 1000

    i. e. 5y ≥ 1000 - 600

    i. e. 5y ≥ 400

    i. e. y ≥ 80

    Thus, we get that at least 80 adults must attend the fundraiser.
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