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

 Jan 1, 2024
 #1
avatar+129883 
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Let G be the total  number of  games   you  play

Let .60 G be the number of  games  you  have played

Let . 40 (.60)G be the number of  games  you  have won =  .24G

Let .40G be the games  left

Let  .50G = the number of  wins  you  must have

And number of wins you  need - Number of  wins  you  have =  No. of  wins you need in  your remaining  schedule

 

So

 

[ No. of wins you  need - No, of  wins you have  ] / [ No. of Games Left ]

 

[ .50G - .24G ] /  .40G  =

 

(.26 G )  / ( .40G) =  .65    (you need to  win  65%  of your remaining  games )

 

cool cool cool

 Jan 2, 2024

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