In lowa, the Hoosiers basketball team won half of its first twelve games. There are a total of
 24 games in the season. In order to make it to the playoffs, the Hoosiers need to win three
 fourths of their remaining games. If the team is able to win exactly three fourths of their
 games, how many total games will they have won at the end of their 24-game season before
 the playoffs begin?