Question

Our basketball team has finished 80% of its season, during which we won 40% 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?

Answer 1

If there are n games, you want

.40*.80n + p*.20n = .50n
.32 + .20p = .50
.20p = .18
p = .18/.20 = .9, or 90%

Check. If there are 100 games, you have won 32 already. So, there are 20 games left, and you need to win 18 of them, or 90%