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17 September, 05:59

The manager at a movie theater keeps track of the number of evening tickets and matinee tickets sold each day and the total money received. On Friday, a total of 63 tickets were sold, and the money collected was $742. If evening tickets are sold for $14 and matinee tickets are sold for $10, how many evening tickets and matinee tickets were sold?

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  1. 17 September, 06:11
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    Given:

    63 tickets were sold.

    Money collected = $742.

    Evening tickets cost $14 each.

    Matinee tickets cost $10 each.

    Let

    x = number of evening tickets sold

    y = number of matinee tickets sold

    Then

    x + y = 63 (1)

    14x + 10y = 742 (2)

    From (1), obtain

    y = 63 - x (3)

    Substitute (3) into (2).

    14x + 10 (63 - x) = 742

    4x + 630 = 742

    4x = 112

    x = 28

    y = 63 - 28 = 35

    Answer: 28 evening and 35 matinee tickets were sold.
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