SOLUTION: a football team has won 4 out of 7 games played. if there are 16 games in a season, how many more games must be won to give the team, a season record of at least 60% games won out

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: a football team has won 4 out of 7 games played. if there are 16 games in a season, how many more games must be won to give the team, a season record of at least 60% games won out      Log On


   

Question 19291: a football team has won 4 out of 7 games played. if there are 16 games in a season, how many more games must be won to give the team, a season record of at least 60% games won out of all games played?
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
Games played=7
Games won=4


No of games in season=16
Required record=60%
They need to win a certain number of games out of 16 to get a 60% record.
Let this certain number be x
Then we get,
(x/16)*100=60
x/16=60/100
x=(60/100)*16
x=(6/10)*16
x=9.6
Which becomes 10 when rounded off
Therefore to get a 60% minimum,they need to win 10 games out of 16.


Then number of games in season=16
Number of games they need to win=10
But we know that,
No of games already played=7
No of games already won=4
So we are left with,
No of games left to play=16-7=9
No of games left to win=10-4=6


So out of their remaining 9 games they need to win 6 to get a season record of 60%


-Prabhat