SOLUTION: A football team has won 10 games and lost 5. If the team wins the remaining games, they will have won 75% of all the games. How many more games will they play?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A football team has won 10 games and lost 5. If the team wins the remaining games, they will have won 75% of all the games. How many more games will they play?      Log On


   

Question 358985: A football team has won 10 games and lost 5. If the team wins the remaining games,
they will have won 75% of all the games. How many more games will they play?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
So far they their winning ratio is 10%2F15. After x more games, their winning ratio would be %2810%2Bx%29%2F%2815%2Bx%29, and this should be 0.75. Hence
%2810%2Bx%29%2F%2815%2Bx%29=0.75.
10%2Bx+=+11.25%2B0.75x,
0.25x+=+1.25, and
x+=+5.
Thus they play 5 more games.