Answer:
a. Fraction of games won by team is [tex]\frac{3}{4}[/tex].
b. Total games played by Katy as catcher is 17.
Step-by-step explanation:
Here is the complete question: A baseball team played 32 games and lost 8 Katy was the catcher in 5/8 of the winning games and 1/4 of the losing games.
a. What fraction of the games did the team win?
b. In how many games did Katy play catcher?
Given: Total number of games= 32
Total games lost= 8.
Katy was the catcher in 5/8 of the winning games.
Katy was the catcher in 1/4 of the losing games.
Now, finding total number games that team won.
Winning total= [tex]32-8= 24[/tex]
∴ Total number of games that team won is 24.
Next finding fraction of the games did the team win.
Fraction of games won by team is [tex]\frac{Games\ won}{Total\ number\ of\ games}[/tex]
∴ Fraction of games won by team = [tex]\frac{24}{32} = \frac{3}{4}[/tex]
Fraction of games won by team is [tex]\frac{3}{4}[/tex]
Lets find out numbers of games Katy play chatcher.
We know, Katy was the catcher in 5/8 of the winning games.
∴ Katy was catcher= [tex]\frac{5}{8} \times 24= 5\times 3[/tex]
Katy was catcher in 15 of the wining games.
We also know, Katy was the catcher in 1/4 of the losing games.
∴ Katy was catcher= [tex]\frac{1}{4} \times 8= 1\times 2[/tex]
Katy was the catcher in 2 of the losing games.
Total games played by Katy as catcher= Catcher in wining games+ catcher in losing games.
∴ Total games played by Katy as catcher= [tex]15+2= 17 games.[/tex]
Hence, total games played by Katy as catcher is 17.
