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At the movie theatre, child admission is$5.30 and adult admission is$9.50. On Tuesday, 165 tickets were sold for a total of $1265.10. How many child tickets were sold that day?

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  1. 27 June, 15:15
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    let a be the adult tickets and c be the child ticket.

    1st equation: a + c = 165

    2nd equation: 9.50a + 5.30c = 1265.10

    Solve the 1st equation for a:

    a + c = 165

    a = 165 - c

    Substitute a value from 1st equation to 2nd equation:

    9.50a + 5.30c = 1265.10

    9.50 (165 - c) + 5.30c = 1265.10

    1567.5 - 9.5c + 5.30c = 1265.10

    1567.5 - 1265.1 = 4.2c

    302.4 = 4.2c

    302.4/4.2 = c

    72 = c

    Answer: There were 72 child ticket sold.
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