SOLUTION: Out of their first 40 games the Williamsbury Wildwings had a record of 18 wins and 22 losses. Assuming no ties, how many of their next 50 games must they win if their record is to

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Question 136628: Out of their first 40 games the Williamsbury Wildwings had a record of 18 wins and 22 losses. Assuming no ties, how many of their next 50 games must they win if their record is to show twice as many wins as losses?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Right now they are 18/40 in winning percentage.
How many games do they need to win out of 50 to have a percentage of 2/3.
Let x be the number of games they need to win.
Then their winning percentage will be,
%2818%2Bx%29%2F%2840%2B50%29=2%2F3
%2818%2Bx%29%2F90=2%2F3
18%2Bx=%282%2F3%29%2890%29
18%2Bx=60
x=60-18
x=42
Check your answer.
If they play 50 games and win 42, their wins will increase to 60 and their total games played will increase to 90.
Their winning percentage will be 60/90 or 2/3.
Correct answer.