Dodgers and Yankees

Expert replies

GmatKiss: Legendary Member; Posts: 2789; Joined: Tue Jul 26, 2011 12:19 amFollowed by: 43 members; Location: Chennai, India; Thanked: 206 times; GMAT Score:640

by GmatKiss » Sun May 20, 2012 3:34 am

Every person in a certain group is either a Dodgers fan or a Yankees fan, but not both. The ratio of Yankees fans to Dodgers fans is 5 to 3. If 22 Yankees fans change teams to become Dodgers fans, the ratio of Dodgers fans to Yankees fans will be 1 to 1. How many people are in the group?

22
88
128
144
176

Like this post

Source: Beat The GMAT — Problem Solving | Sun May 20, 2012 3:34 am

neelgandham: Community Manager; Posts: 1060; Joined: Fri May 13, 2011 6:46 amFollowed by: 52 members; Location: Utrecht, The Netherlands; Thanked: 318 times

by neelgandham » Sun May 20, 2012 3:49 am

GmatKiss wrote:Every person in a certain group is either a Dodgers fan or a Yankees fan, but not both. The ratio of Yankees fans to Dodgers fans is 5 to 3. If 22 Yankees fans change teams to become Dodgers fans, the ratio of Dodgers fans to Yankees fans will be 1 to 1. How many people are in the group?

22
88
128
144
176

Let the number of Yankee fans = 5x
Let the number of Dodgers fans = 3x

After the change,
The number of Yankee fans = 5x-22
The number of Dodgers fans = 3x+22
So (5x-22)/(3x+22) = 1/1
5x - 22 = 3x + 22
2x = 44
x = 22

Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/

Like this post

GmatKiss: Legendary Member; Posts: 2789; Joined: Tue Jul 26, 2011 12:19 amFollowed by: 43 members; Location: Chennai, India; Thanked: 206 times; GMAT Score:640

by GmatKiss » Sun May 20, 2012 3:51 am

neelgandham wrote:
GmatKiss wrote:Every person in a certain group is either a Dodgers fan or a Yankees fan, but not both. The ratio of Yankees fans to Dodgers fans is 5 to 3. If 22 Yankees fans change teams to become Dodgers fans, the ratio of Dodgers fans to Yankees fans will be 1 to 1. How many people are in the group?

22
88
128
144
176
Let the number of Yankee fans = 5x
Let the number of Dodgers fans = 3x

After the change,
The number of Yankee fans = 5x-22
The number of Dodgers fans = 3x+22
So (5x-22)/(3x+22) = 1/1
5x - 22 = 3x + 22
2x = 44
x = 22

OA is not A

Like this post

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Sun May 20, 2012 4:41 am

GmatKiss wrote:Every person in a certain group is either a Dodgers fan or a Yankees fan, but not both. The ratio of Yankees fans to Dodgers fans is 5 to 3. If 22 Yankees fans change teams to become Dodgers fans, the ratio of Dodgers fans to Yankees fans will be 1 to 1. How many people are in the group?

22
88
128
144
176

We can plug in the answers, which represent the total number of people.

After 22 people switch from Yankees to Dodgers, Y : D = 1:1.
Thus, the resulting number of Yankees fans must be 1/2 of the correct answer choice, yielding the following options for the resulting number of Yankees fans after the switch:
11, 44, 64, 72, 88.

Thus, the original number of Yankees fans must have been 22 greater than one of the values above, yielding the following options for the original number of Yankees fans:
33, 66, 86, 94, 110.

Before the switch, Y : D = 5:3, implying that the original number of Yankees fans must be a multiple of 5.
Only answer choice E is viable.

The correct answer is E.

Other ratio problems that I solved with a similar approach:

https://www.beatthegmat.com/mgmat-abstra ... 89581.html

https://www.beatthegmat.com/please-simpl ... 90987.html

https://www.beatthegmat.com/ratio-from-g ... 08195.html

Last edited by GMATGuruNY on Sun May 20, 2012 7:14 am, edited 1 time in total.

Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3

Like this post

neelgandham: Community Manager; Posts: 1060; Joined: Fri May 13, 2011 6:46 amFollowed by: 52 members; Location: Utrecht, The Netherlands; Thanked: 318 times

by neelgandham » Sun May 20, 2012 5:35 am

Oops! I left it a x. The total number of people in the group = 5x + 3x = 8x = 8*22 = 176

Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

560 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