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21 December, 04:50

The local theater sold 260 tickets to their most recent performance. Admission was $9 for adults and $5 for children. If they made $2,140, how many adult tickets did they sell?

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  1. 21 December, 06:05
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    210 adult tickets were sold

    Step-by-step explanation:

    let x be the number of adult tickets sold

    let y be the number of children tickets sold

    x+y=260 equation 1

    9x+5y=2140 equation 2

    multiply equation 1 by 5

    multiply equation 2 by 1

    5x+5y=1300

    9x+5y=2140

    subtract equation 1 from 2

    4x=840

    x=840/4 = 210 tickets

    substitute for x in equation 1

    210+y=260

    y=260-210=50
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