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Math Help - Applied Matrix's and simultaneous equations

  1. #1
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    Applied Matrix's and simultaneous equations

    I'm really new to this forum so I'm hoping some of you guys can really help me understand some of these concepts and stuff I have =/ I want to learn what I can from you guys and hopefully I can help others also

    I've got a question I'm a little stumped on involving matrix's and I'm pretty sure some kind of simultaneous equation and I need to be able to set it out right but maybe bouncing a few idea's off will be able to get me in a right direction

    anywhoo question:

    People tend to agree public transport is an effecitive way to travel. Public transport combination passes are marketed and sold:

    'pass a' cost $12 a week and includes 5 bus rides 2 ferry rides and 3 tram rides

    'pass b' costs $20 a week and includes 10 bus rides 5 ferry rides and 5 tram rides

    'pass c' costs $15 a week and includes 8 bus rides 4 ferry rides and 3 tram rides

    in one particular week the number of bus rides sold = 966 the number of ferry rides sold = 467 and the number of tram rides sold = 462 would the turnover made from selling passes exceed $2000? validate the response with your knowledge on matrix's.


    Lemme know if I'm on right track here please

    a - 5 - 2 - 3 >12
    b - 10 - 5 - 5 >20
    c - 8 - 4 - 3 > 15

    5 2 3 | 12
    10 5 5 | 20
    8 4 3 | 15

    1 0 0 | 3
    0 1 0 | -3
    0 0 1 | 1

    but it's tripping me cos they're paying me (-3) for ferry rides????? I think I'm missing something major and going about it the wrong way... halp?

    oh fiddlesticks! I'm not university, sorry I searched matrix's and went to the forum that had most answers, if admin could move topic it'd be much appreciated...

    or not, I'm still not university though :P
    Last edited by hoppingmad; October 14th 2009 at 05:12 AM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by hoppingmad View Post
    People tend to agree public transport is an effecitive way to travel. Public transport combination passes are marketed and sold:

    'pass a' cost $12 a week and includes 5 bus rides 2 ferry rides and 3 tram rides

    'pass b' costs $20 a week and includes 10 bus rides 5 ferry rides and 5 tram rides

    'pass c' costs $15 a week and includes 8 bus rides 4 ferry rides and 3 tram rides

    in one particular week the number of bus rides sold = 966 the number of ferry rides sold = 467 and the number of tram rides sold = 462 would the turnover made from selling passes exceed $2000? validate the response with your knowledge on matrix's.

    Let a, b and c denote the sales of the three pass types. Then

    Code:
    5a+10b+8c=966     //train rides sold
    2a+5b+4c=467      //ferry rides sold
    3a+5b+3c=462      //tram rides sold
    are the equations to be solved.

    CB
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  3. #3
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    Quote Originally Posted by CaptainBlack View Post
    Let a, b and c denote the sales of the three pass types. Then

    Code:
    5a+10b+8c=966     //train rides sold
    2a+5b+4c=467      //ferry rides sold
    3a+5b+3c=462      //tram rides sold
    are the equations to be solved.

    CB
    sooo...
    32 x 12
    51 x 20 = $1959 so doesn't exceed $2000
    37 x 15

    Okay now I have an answer I know how to get... cool
    now I understand how we get that in simultaneous equation land

    how can I apply my knowledge of matrix's and use them to solve it now??
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  4. #4
    MHF Contributor

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    By the way, the plural of "matrix" is "matrices", not "matrix's". A plural never has an apostrophe.
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