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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 $n$?

 Mar 20, 2024
 #1
avatar+129895 
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Your team  can never win 60% of its games  because you only have a percentage of 1/12 ≈  8.33%

 

And if you  only win 1 game  per week  and lose 2, you can never raise your winning percentage to 60%

 

cool cool cool

 Mar 20, 2024

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