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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?

 Jan 14, 2024
 #1
avatar+36915 
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Let's assume there are 100 games :

.75 * 100 * .35  = games won so far 

.25 (100) x       games remaining  times the percentage needed to get to .5(100)  <==== wins = losses

 

.75 (100) .35   +   .25 (100) (x)  = .5 (100)

     26.25         +  25 x = 50 

          25 x = 23.75

             x = .95                     You need to win 95% of the remaining games                

 Jan 14, 2024

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