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In an election, Kate lost to Lee by 32 votes. Because the vote was so close, they decided to have a re-vote. All of Kate's supporters voted fro her again, but some of Lee's supporters switched their votes to vote for Kate. Kate won by the revote by 6 votes. How may of Lee's original supporters voted for Kate.

  • math -

    original vote:
    kate ---- x
    lee ------x+32

    new vote: number of swing votes --- y
    kate --- x+y
    lee -----x+32 - y

    kate - lee = 6
    x+y - (x+32-y) = 6
    x+y-x-32x+xy = 6
    2y = 38
    y = 19

    19 voters switched

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