math
posted by Jake on .
In an election, Kate lost to Lee by 32 votes. Because the vote was so close, they decided to have a revote. 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.

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+32y) = 6
x+yx32x+xy = 6
2y = 38
y = 19
19 voters switched