SOLUTION: In a game,18 of a baseball team's 27 outs were fly balls. Fifty percent of the outs made by infielders and 100% of the outs made by outfielders were fly balls. How many outs were m

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In a game,18 of a baseball team's 27 outs were fly balls. Fifty percent of the outs made by infielders and 100% of the outs made by outfielders were fly balls. How many outs were m      Log On


   



Question 128278: In a game,18 of a baseball team's 27 outs were fly balls. Fifty percent of the outs made by infielders and 100% of the outs made by outfielders were fly balls. How many outs were made by outfielders? How many outs were made by infielders? Hint: write one equation for the total number of outs and another equation for the number of fly ball outs.
Answer by stanbon(75887) About Me  (Show Source):
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In a game,18 of a baseball team's 27 outs were fly balls. Fifty percent of the outs made by infielders and 100% of the outs made by outfielders were fly balls. How many outs were made by outfielders? How many outs were made by infielders? Hint: write one equation for the total number of outs and another equation for the number of fly ball outs.
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Let I be the number of infielder outs; Let O be the number of outfielder outs.
EQUATIONS:
Total # of outs equation: I + O = 27
# of outs by fly-our : I +(1/2)O = 18
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Subtract the 2nd equation from the 1st to get:
(1/2)O = 9
O = 18 (# of outs by outfielders)
I = 27-9 = 18 (# of outs by infielders)
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Cheers,
Stan H.