Question

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?

Answer 1

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

Explanation:

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]