SOLUTION: If a basketball team's present record is 42 wins and 36 losses, how many consecutive games must it win so that its winning record reaches 60%? (this question has to do with ration

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Question 822025: If a basketball team's present record is 42 wins and 36 losses, how many consecutive games must it win so that its winning record reaches 60%?
(this question has to do with rational functions)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
The winning percentage is found using an equation like:
                         number of wins
Winning percentage = --------------------- * 100
                     total number of games
Let x = the number of consecutive games to win to reach a winning percentage of 60%. Then...
42 + x = the total number of wins
42 + 36 + x = the total number of games.
This makes our equation:
60+=+%2842%2Bx%29%2F%2842%2B36%2Bx%29+%2A+100
which simplifies to:
60+=+%2842%2Bx%29%2F%2878%2Bx%29+%2A+100
Dividing each side by 100:
0.60+=+%2842%2Bx%29%2F%2878%2Bx%29
Multiplying each side by (78+x) (to eliminate the fraction):
0.60%2878%2Bx%29+=+42%2Bx
Simplifying:
46.8+%2B+0.60x+=+42%2Bx
Subtracting 0.60x:
46.8+=+42+%2B+0.40x
Subtracting 42:
4.8+=+0.40x
Dividing by 0.40:
12+=+x