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Our badminton team has finished 75% of its season.  So far, we have won 20% 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?

 Jul 24, 2023
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I suppose this is unsolvable. We can say there are 100 games in total. 75% of it is already finished. That is 75 games. 20% of those game we won. 20% of 75 is 15, so we so far only won 15 games. There are 25 games left, because 100 - 75 is 25. It askes us what percent of the remaining games we need to win in order for our wins to be the same amount as our losses at the end of the season.  We need to win 50 times in total, and we already have 15 wins. The problem is that we only have 25 games left, and 15 + 25 is 40. No matter how many of the remaining games we win, we will not get 50 wins. Therefore, the answer is that there is no solution. 

 Jul 24, 2023

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