+1314 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?
+33661 Number of games in season = N
Number of games played = 0.8N Number of games remaining = 0.2N
Number of games won so far = 0.4*0.8*N = 0.32N
Assuming there are no draws then total number of wins must be 0.5N to match total number of losses
Hence number of remaining games that must be won = 0.5N - 0.32N = 0.18N
As a percentage of the number of remaining games this is 100*0.18/0.2 = 90%
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+33661 Number of games in season = N
Number of games played = 0.8N Number of games remaining = 0.2N
Number of games won so far = 0.4*0.8*N = 0.32N
Assuming there are no draws then total number of wins must be 0.5N to match total number of losses
Hence number of remaining games that must be won = 0.5N - 0.32N = 0.18N
As a percentage of the number of remaining games this is 100*0.18/0.2 = 90%
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