Our basketball team has finished 80% of its season, during which we won 48% of the games we played. What percent of the remainder of our games must we win in order to finish the season with the same number of wins as losses?
+133 Without loss of generality, assume they played 250 games.
Then, they've already played 200 games, and won 48/100 * 200 = 96 games.
They need to win 125 games to have 50% wins, which means they need to win 125 - 96 = 29 more games.
They have 50 more games to play, so they must win 29/50 of their games, or 58%.
To check, take the weighted average of the two values. 48 * 80% + 58 * 20% = 50.
This works, as we needed 50% wins/losses.
