My volleyball team plays three games a week. In the first four weeks, my team lost all 12 of our games. In the fifth week, my team won two games and lost one game, bringing us to 2 wins and 13 losses. Each week after that, my team won two games and lost one game. At the end of which week will my team have won at least 60% of its games?
i am stuck on this! (10, 12, and 37 are wrong...)
Cphill, melody, or geno3141 PLEASE HELP!!! (I am depending on you guys becuase you are one of the smartest people ive ever known.)
THANK YOU SO MUCH IF YOU CAN HELP!!!
+128475 We have this equation
total wins [ 2 + 2n ]
_________ = __________ = .60
total games [ 15 + 3n ]
Where n is the number of weeks after the 5th week
Multiply both sides by 15 + 3n and we have that
2 + 2n = .60 [15 + 3n ]
2 + 2n = 9 + 1.8n subtract 1.8n, 2 from both sides
.2n = 7 divide both sides by .2
n = 35
So..it will take 5 + n = 5 + 35 = 40 weeks to reach a 60% winning percentage
Proof:
After 40 weeks we have 2 + 2(35) = 72 wins
And 15 + 3(35) = 120 games will have been played
So
72 / 120 = .60
