SOLUTION: In a basketball league, the Falcons won 15 of their first 20 games. In order to win 60% of the total of games, how many more games will they have to play, assuming they only win h

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: In a basketball league, the Falcons won 15 of their first 20 games. In order to win 60% of the total of games, how many more games will they have to play, assuming they only win h      Log On

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Question 421073: In a basketball league, the Falcons won 15 of their first 20 games. In order to win 60% of the total of games, how many more games will they have to play, assuming they only win half of the remaining games?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = number of more games they will have to play
given:
x%2F2 = number of games they win out of x more games
--------
+%2815+%2B+x%2F2%29%2F%2820+%2B+x%29+=+.6+
+15+%2B+x%2F2+=+.6%2A%2820+%2B+x%29+
+15+%2B+.5x+=+12+%2B+.6x+
+.1x+=+3+
+x+=+30+
They have to play 30 more games
check:
+%2815+%2B+30%2F2%29%2F%2820+%2B+30%29+=+.6+
+%2815+%2B+15%29%2F50+=+.6+
+30%2F50+=+.6
30+=+.6%2A50
30+=+30
OK