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My street hockey team plays three games each week.  My team lost all $9$ games in the first three weeks. Then, my team won one game and lost two games in the fourth week, bringing our record to $1$ win and $11$ losses. Each week after that, my team won one game and lost two games.  My team first wins at least $60\%$ of all its games by the end of the first $n$ weeks.  What is $n$?

 Dec 15, 2023
 #1
avatar+126978 
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Your team  can never win 60%  of its games

 

You have only  won  1/12  ≈  8%  of your games  after 4 weeks

 

And you're only winning  1/3 = 33%  of your games each week  after that

 

To reach 60%, you would have to  win more games  than you lose each week

 

 

cool cool cool

 Dec 16, 2023

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