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

Answer 1

a. Fraction of games won by team is
`(3)/(4)`.

b. Total games played by Katy as catcher is 17.

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=
`32-8= 24`

∴ 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
`(Games\ won)/(Total\ number\ of\ games)`

∴ Fraction of games won by team =
`(24)/(32) = (3)/(4)`

Fraction of games won by team is
`(3)/(4)`

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=
`(5)/(8) * 24= 5* 3`

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=
`(1)/(4) * 8= 1* 2`

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=
`15+2= 17 games.`

Hence, total games played by Katy as catcher is 17.