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Math Help - yet another word problem;

  1. #1
    Newbie annabananzaa's Avatar
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    yet another word problem;

    the income from a student productio was $10,000. The price of a student ticket was $3, and nonstudent tickets were sold at $5 each. three thousand tickets were sold. how many tickets were sold of each kind.


    if anyone could help me or guide me in the right direction to come up with an equation to solve this problem, i would greatly apreciate it!!!

    thanks for taking the time out to read!
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  2. #2
    Junior Member star_tenshi's Avatar
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    This question is very similar to the cars problem as well, but instead of rates in mph, we have $/ticket.

    Say the number of student tickets sold to be x. Thus the total income due to student tickets is ($3/ticket) x (x tickets) = 3x dollars

    We know that 3000 tickets were sold, so whatever wasn't sold as a student ticket has to then be nonstudent ticket. Thus the total income due to nonstudent tickets is ($5/ticket) x (3000 - x tickets) = 5(3000-x) dollars

    These together should make up the total income for the production.

    * Remember, for word problems like these, the key is to put units on all the numbers that you're given. Working with the units will greatly help you in formulating the equations to solve for the unknown.
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  3. #3
    Newbie annabananzaa's Avatar
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    thank youu so muchh! i got the answer! now only if i culd carry you in my pocket at all times!
    lol
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