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26 December, 22:46

A community theater sold a total of 400 full price tickets for adults and children. The price was $8.00 per adult ticket and $5.00 per children's ticket. If the total revenue was $2,750, how many adult tickets and how many children's tickets were sold

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  1. 26 December, 23:56
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    250 adult tickets and 150 children's tickets

    Step-by-step explanation:

    x=number of adult tickets

    y=number of children tickets

    8x+5y=2760

    x+y=400

    Multiply the second equation by 8

    8 (x+y=400)

    8x+8y=3200

    8x+5y=2750

    8x+8y=3200

    Subtract

    8x-8x=0

    5y-8y=-3y

    2750-3200=-450

    -3y=-450

    Divide by - 3 on both sides

    y=150

    Go back and insert y into any of the equations

    x+150=400

    Subtract

    400-150=250

    x=250

    There are 250 adult tickets and 150 children's tickets.
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