Question

select the correct answer.
a basketball team played 15 games and won 80% of them. if the team expects to play 30 games in all, how many more games must it win to finish
the season with a 90% winning percentage?
a. 12
b. 14
c. 15
d. 27

Explanation:

Step1: Calculate the number of games won initially

The team played 15 games and won 80% of them. So the number of games won initially is \(15\times0.8 = 12\).

Step2: Calculate the number of games needed to win for a 90% winning percentage in 30 - game season

For a 90% winning percentage in 30 games, the number of games to win is \(30\times0.9=27\).

Step3: Calculate the number of additional games to win

Let \(x\) be the number of additional games to win. We know that the initial number of wins (\(12\)) plus \(x\) equals the number of wins needed for 90% in 30 games (\(27\)). So \(x = 27-12=15\).

Answer:

C. 15