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Each baseball team in a league has a roster of players in the ratio of

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New post 02 Apr 2017, 13:01
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Each baseball team in a league has a roster of players in the ratio of 2 pitchers for every 3 fielders. If each team has a total of 25 players on its roster and there are 12 teams in the league, the number of pitchers in the league is how much less than the number of fielders in the league?

A. 10
B. 15
C. 60
D. 120
E. 180

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New post 02 Apr 2017, 13:34
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SajjadAhmad wrote:
Each baseball team in a league has a roster of players in the ratio of 2 pitchers for every 3 fielders. If each team has a total of 25 players on its roster and there are 12 teams in the league, the number of pitchers in the league is how much less than the number of fielders in the league?

A. 10
B. 15
C. 60
D. 120
E. 180


Each team: 2 pitchers for every 3 fielders. Each team has a total of 25 players.
So, ON EACH TEAM there are 10 pitchers and 15 fielders

There are 12 teams in the league.
So, the TOTAL number of pitchers = 12(10) = 120
And the TOTAL number of fielders = 12(15) = 180

The number of pitchers in the league is how much less than the number of fielders in the league?
180 - 120 = 60

Answer: C
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Re: Each baseball team in a league has a roster of players in the ratio of  [#permalink]

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New post 02 Mar 2018, 10:41
SajjadAhmad wrote:
Each baseball team in a league has a roster of players in the ratio of 2 pitchers for every 3 fielders. If each team has a total of 25 players on its roster and there are 12 teams in the league, the number of pitchers in the league is how much less than the number of fielders in the league?

A. 10
B. 15
C. 60
D. 120
E. 180


The ratio of pitchers to fielders = 2x : 3x. Since each team has 25 players:

2x + 3x = 25

5x = 25

x = 5

Each team has 10 pitchers and 15 fielders. Thus, the number of pitchers in the league is 10 x 12 = 120, and the number of fielders in the league is 15 x 12 = 180.

Thus, there are 180 - 120 = 60 fewer pitchers than fielders.

Answer: C
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Re: Each baseball team in a league has a roster of players in the ratio of   [#permalink] 02 Mar 2018, 10:41
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