Answer:
The infielders made a total of 12 outs and outfielders made a total of 14 outs.
Step-by-step explanation:
In a nine-inning game, 20 of a baseball team’s 26 outs were fly balls.
Let x be the total outs made by infielders
Let y be the total outs made by outfielders.
Total ousts were 26 so we have ;
[tex]x+y=26[/tex] or [tex]x=26-y[/tex]
Given is that 50% of the outs made by infielders and 100% of the outs made by outfielders were fly balls.
We get ;
[tex]0.5x+y=20[/tex]
Substituting the value of x here we het
[tex]0.5(26-y)+y=20[/tex]
[tex]13-0.5y+y=20[/tex]
[tex]0.5y=20-13[/tex]
[tex]0.5y=7[/tex]
y = 14
And [tex]x=26-y[/tex]
=> [tex]x=26-14[/tex]
x = 12
So, infielders made a total of 12 outs of which 50% were fly balls that means 6 were fly balls.
And outfielders made a total of 14 outs of which 100% were fly balls which means 14 fly balls.
Lets check the fly balls count = [tex]6+14=20[/tex] (as given)
So, infielders made a total of 12 outs and outfielders made a total of 14 outs.