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Our badminton team has finished 60% of its season.  So far, we have won 30% 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?

 May 10, 2024
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Suppose the answer is x%.

 

\(60\% \cdot 30\% + (1 - 60\%) x\% = 50\%\\ 0.18 + 0.004x = 0.5\\ x = 80\)

 

80% of the remainder of the games must be won.

 May 10, 2024

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