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Math Help - Help with work problem/formula

  1. #1
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    Help with work problem/formula

    I am stuck on a word problem and can't figure out what formula to use. I know to use x for one price and y for another, but after that I'm hitting a wall.

    There were 383 tickets sold to a basketball game. The ticket price for event card holders is $1.75 and $2.25 for non-card holders. The total amount collected was $806.25. How many tickets were sold at each price?
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  2. #2
    Super Member Quacky's Avatar
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    Event card holders = x
    Non-Card holders = y

    x + y = 383 (as 383 were sold in total)

    1.75x + 2.25y = 806.25 (as the price for x was $1.75 and y was $2.25, and $806.25 was the total raised)

    Can you take it from here? Rearrange to get in terms of x or y, then Substitute or eliminate as you see fit.
    Last edited by Quacky; February 3rd 2011 at 11:10 AM. Reason: Removed a typo :P
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  3. #3
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    I actually got that far, but I can't seem to get the same answer as the book. I know the answer is 111 tix at 1.75 and 272 at 2.25 but I don't see how they are getting it. Do I need to multiply by 100 to get rid of the decimals? My answers are way off.
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  4. #4
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    e^(i*pi)'s Avatar
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    From eq1: y = 383-x

    Sub into eq2: 1.75x+2.25(383-x) = 806.25. Once x is known use either equation to find y.

    I get the book's answer of 111 and 272
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  5. #5
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    Thanks! I knew I'd feel stupid once I seen the answer. I can't believe I didn't catch that.
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