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?

1 Answer
Nov 27, 2017

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]