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Usimov [2.4K]
3 years ago
13

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?
Mathematics
1 answer:
guapka [62]3 years ago
6 0

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 ;

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.

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