# math

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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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