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.