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Math Help - I need help with the equation part

  1. #1
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    I need help with the equation part

    During a recent basketball game, the Miami Heat scored 26 fewer points than the Orlando Magic. Together, both teams scored a total of 182 points. How many points did each team score?

    a) Write the equation you would use to solve this problem, using as Orlando Magic's score. __________

    b) After solving the equation, what is the Miami Heat's score? _______________

    c) After solving the equation, what is the Orlando Magic's score? ____________
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: I need help with the equation part

    If we let h represent the Miami Heat's score and m represent the Orlando Magic's score, how can we get two equations that relate the two variables from:

    "Miami Heat scored 26 fewer points than the Orlando Magic"

    "Together, both teams scored a total of 182 points"

    Can you translate these statements into equations?
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  3. #3
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    Re: I need help with the equation part

    Quote Originally Posted by MarkFL2 View Post
    If we let h represent the Miami Heat's score and m represent the Orlando Magic's score, how can we get two equations that relate the two variables from:

    "Miami Heat scored 26 fewer points than the Orlando Magic"

    "Together, both teams scored a total of 182 points"

    Can you translate these statements into equations?



    I did that already, it still showed it was incorrect.
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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: I need help with the equation part

    What were your equations?
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  5. #5
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    Re: I need help with the equation part

    M-26=182
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  6. #6
    MHF Contributor MarkFL's Avatar
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    Re: I need help with the equation part

    As you know, that is incorrect.

    "Miami Heat scored 26 fewer points than the Orlando Magic"

    Thus tell us that 26 fewer than m is equal to h, or:

    h=m-26

    "Together, both teams scored a total of 182 points"

    This tells us that the sum of the scores is 182, or:

    h+m=182

    Now, to get an equation in one variable, we may take the first equation, which is already solved for h and substitute into the second equation:

    m-26+m=182

    Can you now simplify this and solve for m?
    Last edited by MarkFL; September 26th 2012 at 08:56 PM.
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  7. #7
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    Re: I need help with the equation part

    M-26+m=182
    +26 +26
    _________________
    M+M=208
    2m/2 =208/2
    M=104
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  8. #8
    MHF Contributor MarkFL's Avatar
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    Re: I need help with the equation part

    Correct!

    Now you may use the first equation to get the value for h.
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  9. #9
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    Re: I need help with the equation part

    Ty : )
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