Question

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

Answer 1

The basketball team must win 15 more games to achieve a 90% winning percentage by the end of a 30-game season.

Step-by-step explanation:

The question is asking for the number of additional games a basketball team must win to achieve a 90% winning percentage by the end of the season, given that the team has already played 15 games with an 80% winning rate and expects to play a total of 30 games. To solve this, let's first calculate the number of games won so far and the number of games that must be won in total to reach a 90% win rate.

1. At an 80% win rate for 15 games, the team has already won 0.8 × 15 = 12 games.
2. To have a 90% winning percentage after 30 games, the team must win 0.9 × 30 = 27 games in total.
3. The team needs to win 27 total games - 12 games already won = 15 more games.

Thus, the team must win 15 more games to end the season with a 90% win rate.