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12 February, 03:55

A movie theater has a total of 347 seats. For a special Saturday night preview, they reserve 36 seats to give away to their VIP guests at no charge. If x represents the number of tickets they can sell for the preview, then x can be found by solving the equation x + 36 = 347.

A.) Solve the equation for x.

If tickets for the preview are $11.00 each, what is the maximum amount of money they can make from ticket sales?

B) The max they can make from ticket sales is $?

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Answers (1)
  1. 12 February, 04:14
    0
    Given

    a) x + 36 = 347

    b) revenue = $11x

    Find

    a) x

    b) revenue

    Solution

    a) subtract 36 from both sides of the equation

    ... x + 36 - 36 = 347 - 36

    ... x + 0 = 311

    ... x = 311

    b) substitute the value for x and do the arithmetic

    ... revenue = $11·311

    ... revenue = $3421
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