SOLUTION: You have won 3 out of 17 games how many games will you have to win in a row to improve your winning percentage to 90%? The answer is 123 but I don't know how to work the problem ou

Question 1006966: You have won 3 out of 17 games how many games will you have to win in a row to improve your winning percentage to 90%? The answer is 123 but I don't know how to work the problem out please help .
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Let the number of games to be played be x. Then we set it up like this:

We cross-multiply and get
3 + x = 15.3 + .9x
.1x = 12.3
and
x = 123 games
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