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 nthe losing games.

a. What fraction of the games did the team win?
b. In how many games did Katy play catcher?

Answer 1

fraction of the games did the team win is =
`(3)/(4)`

Katy play game = 17

Explanation:

given data

baseball team played = 32 games

lost = 8

Katy catcher = 5/8 of winning

Katy catcher = 1/4 of losing

to find out

What fraction of the games did the team win and how many games did Katy play

solution

we know total game = 32 and lost 8

so win is total - lost = 32 - 8 = 24

so

fraction of the games did the team win is =
`((24)/(8) )/((32)/(8) )`

fraction of the games did the team win is =
`(3)/(4)`

and

so total game 24 winning is
`(5)/(8)`

so katy winning is
`24*(5)/(8)`

katy winning = 3 × 5 = 15

and

losing
`(1)/(4)`

total lose game 8

so Katy lose = 8 ×
`(1)/(4)` = 2

so

Katy play game = 15 + 2 = 17