In an election, 12% of the voters did not cast their votes and 2% of the casted votes were declared invalid. There were only two candidates in this election. The winner, by obtaining 46% of the total registered votes, defeated his opponent by 1,044 votes. What was the total number of voters registered in the election?

In a town with 30,000 professionals, teachers make up 11% of the total professionals. If 46% of teachers are male, what is the number of female teachers in the town?

In a town's professional breakdown, doctors represent 18% and clerks represent 8% of the total professionals. If the number of doctors is 3000 greater than the number of clerks, what is the total number of professionals in the town?