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

Expert replies

Previous Topic Next Topic

BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Fri Aug 31, 2018 6:35 pm

Timer

00:00

Answers

Stats

Difficulty—

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

OA C

Source: Princeton Review

Like this post

Source: Beat The GMAT — Problem Solving | Fri Aug 31, 2018 6:35 pm

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Sat Sep 01, 2018 5:20 am

BTGmoderatorDC 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

OA C

Source: Princeton Review

There are 2 pitchers for every 3 fielders
So, out of every 5 players, there are 2 pitchers.
So, in ONE 25-player team, there are 10 pitchers (and 15 fielders)

So, if there are 12 teams, and there are 10 pitchers and 15 fielders per team, then...
TOTAL number of pitchers = (12)(10 )
TOTAL number of fielders = (12)(15 )

The number of pitchers in the league is how much less than the number of fielders in the league?
Answer = (12)(15 ) - (12)(10 )
= 12(15 - 10)
= 12(5)
= 60

Answer: C

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

Like this post

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

by deloitte247 » Sat Sep 01, 2018 11:49 pm

For each team, we have a total of 25 players and there are 2 pitchers for every 3 fielders.
So, on each team, there are 10 pitchers and 15 fielders
There are 12 teams in the league.
Thus, the total number of pitchers= No of pitchers x No of teams = 12*10 =120
Total number of fielders = No of fielders * No of teams = 15 * 12 = 180

Finding how much less is the pitchers in the league than the fielders.
Total No of fielders - Total No of pitchers = 180 - 120 = 60

ANSWER = OPTION C

Like this post

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8136; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Tue Sep 11, 2018 4:17 pm

BTGmoderatorDC 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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

Like this post

GMAT/MBA Expert

[email protected]: Elite Legendary Member; Posts: 10392; Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members; Location: Palo Alto, CA; Thanked: 2867 times; GMAT Score:800

by [email protected] » Tue Sep 11, 2018 7:47 pm

Hi All,

We're told that each baseball team in a league has a roster of players in the ratio of 2 pitchers for every 3 fielders, each team has a total of 25 players on its roster and there are 12 total teams in the league. We're asked for the DIFFERENCE between the total number of fielders and the total number of pitchers in the league. This is essentially an Arithmetic question, but you can approach the math in a number of different ways.

We're first told that there are 2 pitchers for every 3 fielders on a team - thus, for every 5 players on a team, the difference between the number of fielders and the number of pitchers is 1. Each team has 25 players, so that's five 'groups' of five... and the difference per TEAM is 5(1) = 5 players.

With 12 total teams in the league, the overall difference is 5(12) = 60 players.

Final Answer: C

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

559 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (560 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review