Question

A team won 40% of its first 15 games. Beginning with the 16th game, how many games in a row does the team now have to win in order to have a 55% winning record?

A) 2
B) 5
C) 8
D) 10

Answer 1

A team with a current winning record of 40% from 15 games needs to win 8 more consecutive games to achieve a 55% winning record. Initially, the team has won 6 games, and with 8 additional wins, they'll have won 14 out of 25 games, which is 56%. The calculation accounts for the additional games played and won to reach the target winning percentage.

Step-by-step explanation:

The student asks how many more games a team has to win in a row to achieve a 55% winning record if they have won 40% of their first 15 games. The correct answer is C) 8 consecutive games.

Initially, the team won 40% of 15 games, which is 6 games (0.40 * 15 = 6). To have a 55% winning record, the total number of games won (including the 6 already won) would need to be 55% of the total games played. If we let x be the number of additional wins needed:
(6 + x) / (15 + x) = 0.55. Solving for x gives us 8.25, which we round up to 9 because a team can't win a fraction of a game. However, since we've included the 16th game in our calculation already, we subtract one to get the number of additional games the team must win, which is 8.