SOLUTION: a tean won 3 of its first 7 games. By winning all its remaining games, it ended with 6 wins out of every 7 games played. In all, how many games did the team play?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: a tean won 3 of its first 7 games. By winning all its remaining games, it ended with 6 wins out of every 7 games played. In all, how many games did the team play?      Log On


   



Question 428845: a tean won 3 of its first 7 games. By winning all its remaining games, it ended with 6 wins out of every 7 games played. In all, how many games did the team play?
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the number of remaining games
Then the ratio of games played to games won is:
%283+%2B+x%29%2F%287+%2B+x%29+=+6%2F7
Solve for x:
7%283%2Bx%29+=+6%287%2Bx%29
21+%2B+7x+=+42+%2B+6x+-%3E+x+=+21