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Our badminton team has finished $75\%$ of its season.  So far, we have won $35\%$ 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?

 Nov 13, 2023
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Let's say a = 25% of the season

Let's say n is also 25% of the season.

 

a=35% win rate

3a/3 = (35*3)/3 % win rate

= 35%

(3a+n)/4 = 50%

3a+n = 200%

If a = 35%, 3a = 105%

105% + n = 200%

n = 95%

 

So, they must win 95% of the remainder of their games to finish the season with the same number of wins as losses.

I haven't explained this very well, but I hope you understand.

 Nov 13, 2023

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