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My street hockey team plays three games each week. My team lost all 12 games in the first four weeks. Then, my team won two games and lost one game in the fifth week, bringing our record to 2 wins and 13 losses. Each week after that, my team won two games and lost one game. My team first wins at least 60% of its games by the end of n weeks. What is n?

 Jul 7, 2020
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After week 5, the record is 2 wins and 13 losses.

After week 6, the record is 4 wins and 14 losses.

After week 7, the record is 6 wins and 15 losses.

If we keep going with this pattern, then after 37 weeks, there will be 66 wins and 44 losses, so the percentage win is 66/(66 + 44) = 60%.

So the answer is 37.

 Jul 7, 2020

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