Question

In a nine-inning game, 20 of a baseball team’s 26 outs were fly balls. Fifty percent of the outs made by infielders and 100% of the outs made by the outfielders were fly balls. a) How many outs were made by the infielders?

Answer 1

The infielders made a total of 12 outs and outfielders made a total of 14 outs.

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 ;

`x+y=26` or
`x=26-y`

Given is that 50% of the outs made by infielders and 100% of the outs made by outfielders were fly balls.

We get ;

`0.5x+y=20`

Substituting the value of x here we het

`0.5(26-y)+y=20`

`13-0.5y+y=20`

`0.5y=20-13`

`0.5y=7`

y = 14

And
`x=26-y`

=>
`x=26-14`

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 =
`6+14=20` (as given)

So, infielders made a total of 12 outs and outfielders made a total of 14 outs.