According to a local survey performed in January, 49% of people polled said they would reelect the town's mayor. However, the mayor's percentage of votes decreased 2% each month. The survey revealed that 19% of the people polled would vote for the challenger. The challenger's percentage of votes increased 3% each month. In what month will the percentage of people willing to vote for the challenger equal to that of the mayor? What percent will vote for the challenger in that month?

Answer 1

49*.98^t = 19*1.03^t
t = 19.08
so, the following August the polls will match.