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Math Help - word problem

  1. #1
    mkwtjm
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    word problem

    A school sales 200 tickets for $475.00. Adult tickets are $3.00 and student tickets are $2.00. How many $2.00 and $3.00 tickets were sold. I have answer by guessing only. I need help putting together a formula.
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  2. #2
    Site Founder MathMan's Avatar
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    You need to set up 2 equations for your 2 unknowns.
    First equation:
    x+y=200 (x is the $3 ticket and y is the $2 ticket)

    Second equation:
    3x + 2y= 475 (the sum of all tickets sold is 475)

    In the first equation solve for x:
    x=200-y

    Now plug in x in the second equation:
    3(200-y) +2y = 475
    600-3y+2y = 475
    600 -y = 475
    -y = -125
    y=125

    Now plug y into the first equation:
    x=200-125
    x=75

    So there were 75 $3 tickets sold and 125 $2 tickets sold
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