# Math Help - Baseball Stats

1. ## 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. 2. Originally Posted by Jonboy 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

3. Earthbot you explained that PERFECTLY, I'm extremely grateful; thanks to the highest degree and exponent!

4. 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?.

5. Originally Posted by galactus
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.

6. 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.

7. 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.

8. I found your problem. Note my edit.

9. Originally Posted by galactus
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?

10. 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.