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30 April, 06:57

Students sold 400 tickets for a playoff football game at school. some tickets are for students and costs 3.00. while the rest are adult tickets that costs 8.00. the total value of tickets sold was $1580.00

a. write a system of equations that represents this situation

b. solve this system of equations to determine how many of each type of ticket is sold.

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  1. 30 April, 08:54
    0
    So baically

    reresent

    s=number of studne tickes bouthgt

    a=number of adult tickets bought

    400 tickest sold

    total=400

    a+s=400

    value=rate times number of peple

    student value=3s

    adults value=8a

    total value=1580

    3s+8a=1580

    a. system of equations area

    s+a=400

    3s+8a=1580

    b. solve

    s+a=400

    3s+8a=1580

    a+s=400

    multiply by - 3

    -3s-3a=-1200

    add to other eqaution

    3s+8a=1580

    -3s-3a=-1200 +

    0s+5a=380

    5a=380

    divide 5

    a=76

    subsiute

    s+a=400

    s+76=400

    subtract 76

    s=324

    a. s+a=400

    3s+8a=1580

    b. solution above

    324 students

    76 aduls
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