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]