Answer:
fraction of the games did the team win is = [tex]\frac{3}{4}[/tex]
Katy play game = 17
Step-by-step 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 = [tex]\frac{\frac{24}{8} }{\frac{32}{8} }[/tex]
fraction of the games did the team win is = [tex]\frac{3}{4}[/tex]
and
so total game 24 winning is [tex]\frac{5}{8}[/tex]
so katy winning is [tex]24*\frac{5}{8}[/tex]
katy winning = 3 × 5 = 15
and
losing [tex]\frac{1}{4}[/tex]
total lose game 8
so Katy lose = 8 × [tex]\frac{1}{4}[/tex] = 2
so
Katy play game = 15 + 2 = 17
