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Math Help - Algebraic Word Translations

  1. #1
    Member
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    Algebraic Word Translations

    Hi All.

    'Mary persuaded n friends to donate $500 each to her election campaign, and then each of these n friends persuaded n more people to donate $500 each to Mary's campaign' Denote a formula for the amount contributed to the campaign.

    Translating this I would work as follows.

    1. Mary persuaded n friends to dontate $500 each to her election campaign: [tex]500n[\MATH]
    2. Each of these n friends persuaded n more people to donate $500 each to Mary's campaign[tex]500n(500n)[\MATH]

    However the answer is [tex]$500(n^2 + n)[\MATH]

    Where did I go wrong?

    Thanks,
    D
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  2. #2
    MHF Contributor
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    try thinking like this:

    how much do mary's friends donate
    this is number of people * donation
    number of people: n
    donation: 500

    amount: 500n

    how much do their friends donate
    number of people: n*n
    donation: 500

    Amount = 500n^2


    so the total donated is:
    500n + 500n^2 = 500(n^2 + n)
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  3. #3
    MHF Contributor

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    there are n people, not 500n people. Your first "500n" is the amount of money.

    If each of n people contacts another n people, then they will have contacted n^2 people, which,together with the original n, makes n^2+ n people, each of whom contributes $500.
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