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 $n$?

MEMEG0D Aug 25, 2024

#1**+1 **

Well, let's note something about this problem really quickly.

So, throughout the first 12 games, you have 1 win and 11 losses, which is 1/12, or about 8% win rate.

After that, you win 1 game and lose 2 games, which is 1/3 or about 33% win rate.

However, in order to achieve a 60% win rate, you must win more games than you lose.

**Since you ALWAYS lose more than you win, it's not possible you have a 60% win rate. **

Thanks! :)

~900 answers

NotThatSmart Aug 26, 2024