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Math Help - I tried doing this 3 times already!!!

  1. #1
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    I tried doing this 3 times already!!!

    In a recent election, Abby received 46 more votes than Barbara. If a total of 480 votes were cast for the two candidates, find out how many votes each candidate received.

    a) Write the equation you would use to solve this problem, using as the number of Barbara's electoral votes. __________

    b) After solving the equation, how many votes did Barbara receive? ________

    c) After solving the equation, how many votes did Abby receive? __________
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: I tried doing this 3 times already!!!

    What 2 equations did you initially write down from the given information?
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  3. #3
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    Re: I tried doing this 3 times already!!!

    Quote Originally Posted by MarkFL2 View Post
    What 2 equations did you initially write down from the given information?


    B+46-b=480
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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: I tried doing this 3 times already!!!

    Let a be the number of votes for Abby, and b be the number of votes for Barbara.

    We are told "Abby received 46 more votes than Barbara" which gives us:

    a=b+46

    We are told "a total of 480 votes were cast for the two candidates" which gives us:

    a+b=480

    Substituting for a from the first equation into the second gives us:

    b+46+b=480

    Now, you may solve for b...
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  5. #5
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    Re: I tried doing this 3 times already!!!

    Quote Originally Posted by MarkFL2 View Post
    Let a be the number of votes for Abby, and b be the number of votes for Barbara.

    We are told "Abby received 46 more votes than Barbara" which gives us:

    a=b+46

    We are told "a total of 480 votes were cast for the two candidates" which gives us:

    a+b=480

    Substituting for a from the first equation into the second gives us:

    b+46+b=480

    Now, you may solve for b...

    b+46+b=480
    -46 -46

    b+b=434
    2b/2 434/2

    B=217
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  6. #6
    MHF Contributor MarkFL's Avatar
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    Re: I tried doing this 3 times already!!!

    Correct, now you can use the original first equation to find a...
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