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29 June, 16:46

At the movie theater child admission is $5.30 in adult admission is $9.40 on Monday 119 tickets were sold for a total sales of $852.10 how many child tickets were sold that day

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  1. 29 June, 19:14
    0
    65 tickets for children

    Step-by-step explanation:

    In this case we can solve it by means of a 2x2 system of equations, like this:

    Let x be the ticketsr of children

    let y be the tickets of adults

    Thus:

    5.3 * x + 9.4 * y = 852.1

    x + y = 119 = > x = 119 - y

    replacing, we are left with:

    5.3 * (119 - y) + 9.4 * y = 852.1

    630.7 - 5.3 * y + 9.4 * y = 852.1

    9.4 * y - 5.3 * y = 852.1 - 630.7

    4.1 * y = 221.4

    y = 221.4 / 4.1

    y = 54

    Now to calculate x:

    x = 119 - 54

    x = 65

    Which means that there are 65 tickets for children and 54 tickets for adults.
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