SOLUTION: Ana has played 20 games and has a 90% winning percentage. Without losing any more games, how many more games in a row must she win to reach exactly a 92% winning percentage?

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Question 235852: Ana has played 20 games and has a 90% winning percentage. Without losing any more games, how many more games in a row must she win to reach exactly a 92% winning percentage?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
So far, she has won
.9%2A20+=+18 games
Let x = the number of games in a row she must win
%2818+%2B+x%29%2F%2820+%2B+x%29+=+.92
18+%2B+x+=+.92%2A%2820+%2B+x%29
18+%2B+x+=+18.4+%2B+.92x
.08x+=+.4
x+=+5
She must win 5 games in a row
check:
%2818+%2B+x%29%2F%2820+%2B+x%29+=+.92
%2818+%2B+5%29%2F%2820+%2B+5%29+=+.92
23%2F25+=+.92
23+=+.92%2A25
23+=+23
OK