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Math Help - word problem

  1. #1
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    Exclamation word problem

    i need help with the following word problem:

    a museum charges $10 for a regular admission ticket, but members recieve a discount of $3 and students are admitted for $5. Last saturday, 750 tickets were sold for a total of $5400. if more 20 student tickets than regular tickets were sold, how many of each type of ticket were sold?

    thanks!
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    Lets say x regular tickets were sold
    y student And z member tickets

    So
    x+y+z= 750......(1-total tickets)

    y=x+20...........(2-its given)


    Put 2 in 1'

    2x+z= 730.............(3)

    For total earning

    10x+5y+7z= 5400

    10x + 5(x+ 20) +7z =5400

    16x + 7z = 5300...............(4)

    solve using 3 and 4

    16x + 7(730-2x) = 5300

    2x + 5110 =5300

    x = 190/2 = 85 _______________EDIT: 95

    y= 85 +20 = 105____________EDIT : 95+20 = 115

    z =730-(2*85) = 790-170= 620_______EDIT:730-190= 540
    Last edited by ADARSH; March 14th 2009 at 07:23 AM. Reason: A silly Math typo thanks to Aether
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  3. #3
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    question?

    At the end shouldn't the sum of x,y and z give 750 (the number of tickets sold)?
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