Miguel is working at the county fair. On Friday, he works at the concession stand. On Saturday, he works at the balloon dart booth. At the balloon dart booth, players are charged $1 for the chance to throw 3 darts. Prizes worth $4 each are awarded to players who pop at least 2 balloons. Last year, 4 out of 12 players popped 2 balloons and 1 out of 12 players popped 3 balloons. Complete parts a and b below.
a. If the ratio of winners to players is the same this year and 204 people play the game, how much money will the booth earn or lose? Explain.
b. If Miguel requires players to pop 3 balloons to win a prize and 43 players still win, how much money will the booth earn or lose? Explain.