At the end of Week 5 of my basketball team's season, our record is 3 wins and 17 losses. Each week after that, we win 3 games and lose 1 game. At the end of which week will my team have won at least 65% of its games total for the first time in the season?

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Answer 1 · 2017-11-27T12:33:14

At the end of week $30$ your team will win $65%$ of the total game for the first time in the season.

Let the number of weeks more required is $n$

$n$ is positive . Total win will be $W= 3+3n$ and

total loss will be $L= 17+n$ . By given condition ,

$W/(W+L) >=65/100 or (3+3n)/((3+3n)+(17+n)) >=65/100$ or

$(3+3n)/(4+20n) >=65/100 or 300+300n>=1300+260n$ or

$40n>=1000 or n>=25$ .After $25$ week i.e at the end of

week $30$ your team will win $65%$ of the total game

for the first time in the season. [Ans]