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21 December, 23:02

Tickets to the school musical are $5.00 for adults and $3.50 for students. If the total value of the tickets sold was $2517.50 and 100 more students bought tickets than adults, how many adults and students bought tickets?

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  1. 21 December, 23:17
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    To answer this, you will write and equation in terms of the number of adult tickets sold and then solve for a, the number of adult tickets.

    $5a + $3.50s = $2517.50

    $5a + $3.50 (a + 100) = $2517.50

    5a + 3.50a + 350 = 2517.50

    8.50a - 350 - 350

    8.5a = 2167.50

    8.5 8.5

    a = 255

    The number of adult tickets sold was 255, and the number of student tickets sold was 355 (255 + 100).
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