Algebra

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The seats in a theater are arranged in parallel rows that form a rectangular region. The number in each row is 16 fewer than the number of rows. How many seats are in each row of 1161 -seat theater?

  • Algebra -

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  • Algebra -

    let the number of rows be x
    let the number of seats in each row be x-16
    x(x-16) = 1161
    x^2 - 16x - 1161 = 0
    (x-43)(x+27) = 0
    x = 43 or x = -27 but x > 0

    x = 43
    there are 43 rows with 27 seats in each

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