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Math Help - Baseball Stats

  1. #1
    Member Jonboy's Avatar
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    Baseball Stats

    Just out of curiosity does anyone here have the book: Algebra and Trig w/Analytic Geometry by Swokowski Cole?

    I'm using the book and it doesn't explain the best but I only payed $15 for it so I'm satisfied.

    Here's a problem I'm totally stumped on:

    After playing 100 games, a major league baseball team has a record of .650 or 65% winning percentage. If the team wins only 50% of its games for the remainder of the season, after how many additional games will the record by .600 ?

    Can someone lead me to finding an equation? Thanks so much.
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  2. #2
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    Quote Originally Posted by Jonboy View Post
    Just out of curiosity does anyone here have the book: Algebra and Trig w/Analytic Geometry by Swokowski Cole?

    I'm using the book and it doesn't explain the best but I only payed $15 for it so I'm satisfied.

    Here's a problem I'm totally stumped on:

    After playing 100 games, a major league baseball team has a record of .650 or 65% winning percentage. If the team wins only 50% of its games for the remainder of the season, after how many additional games will the record by .600 ?

    Can someone lead me to finding an equation? Thanks so much.
    Hello,

    let x be the number of additional games. Then the total amount of games is (100+x). Only half of the additional games were won: that is \frac{1}{2} \cdot x.
    65 games were already won. The ratio must be 0.6:

    \frac{65 + \frac{1}{2} \cdot x}{100 + x} = 0.6 . Solve for x.

    For confirmation only: x = 50
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  3. #3
    Member Jonboy's Avatar
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    Earthbot you explained that PERFECTLY, I'm extremely grateful; thanks to the highest degree and exponent!
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  4. #4
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    I have an old edition, Jonboy. The 8th edition. It may still be in there. What chapter?. Anyway, if I am interpreting correctly.

    The team wins 65 out of the first 100 games. Then 50 % of subsequent games.

    65+0.50x=0.60(100+x)

    x=50

    Does that seem reasonable?.
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  5. #5
    Member Jonboy's Avatar
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    Quote Originally Posted by galactus View Post
    I have an old edition, Jonboy. The 8th edition. It may still be in there. What chapter?. Anyway, if I am interpreting correctly.

    The team wins 65 out of the first 100 games. Then 50 % of subsequent games.

    65+0.50x=0.60(100+x)

    x=50

    Does that seem reasonable?.
    I have the 9th edition. Is the 8th edition vague on explaining methods to solve all its problems? Yes your equation is reasonable. Thanks Galactus.
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  6. #6
    Eater of Worlds
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    No, I always thought it was a nice book. It should be very similar. What chapter is the problem in?. I will see if it's in my book.

    EDIT: I found your problem in chapter 2.2, problem #33.

    It has the following solution:

    Let x=number of additional games The team has won 0.65(100)=65 games and will win 0.5x more games.

    \frac{games \;\ won}{games \;\ played}=\frac{65+0.5x}{100+x}=0.60

    x=50

    Identical to what was posted.
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  7. #7
    Member Jonboy's Avatar
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    This problem is in Chapter 2.2 Exercises. Problem number 33 for me, called Baseball stats. I'm trying to learn how to do these application/word problems and it only gives like 2 or 3 examples. Then it gives 38 other word problems and I feel it should give more detail on methods.
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  8. #8
    Eater of Worlds
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    I found your problem. Note my edit.
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  9. #9
    Member Jonboy's Avatar
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    Quote Originally Posted by galactus View Post
    I found your problem. Note my edit.
    Cool. How did you get that detailed of a solution from your book? Do you have the teacher's edition?
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  10. #10
    Eater of Worlds
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    Smile

    No, I have the students' solutions manual. It's an odd problem, so it was in there. I have had this book for more than 10 years. I dug it out when you mentioned it.

    I did post my solution before I found the manual though. I didn't cheat.
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