In a certain town in Connecticut, the ratio of NY Yankees

Expert replies

Previous Topic Next Topic

swerve: Legendary Member; Posts: 2535; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Sun Apr 15, 2018 10:03 am

Timer

00:00

Answers

Stats

Difficulty—

In a certain town in Connecticut, the ratio of NY Yankees fans to NY Mets fans is 3:2, and the ratio of the NY Mets fans to Boston Red Sox fans is 4:5. If there are 300 baseballs in the town, each of whom is a fan of exactly one of those three teams, how many NY Mets are there in this town?

A. 75
B. 80
C. 90
D. 120
E. 133

The OA is B.

Please, can anyone explain this PS question? I can't get the correct answer. I appreciate your help. Thanks.

Like this post

Source: Beat The GMAT — Problem Solving | Sun Apr 15, 2018 10:03 am

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] » Sun Apr 15, 2018 11:15 am

Hi swerve,

We're told that in a certain town the ratio of NY Yankees fans to NY Mets fans is 3:2, the ratio of the NY Mets fans to Boston Red Sox fans is 4:5 and there are 300 total baseball fans in the town, each of whom is a fan of JUST ONE of those three teams. We're asked for the number of NY Mets in this town.

When dealing with ratios, it's important to remember that you can't have a 'fraction' of a person. Here, that means the number of NY Yankees fans MUST be a multiple of 3, the number of NY Mets fans MUST be a multiple of 2 and 4 and the number of Boston Red Sox fans MUST be a multiple of 5. Combining these facts into one big ratio, we have...
Y:M:R
6:4:5
This means that for every 6 NY Yankees fans, there are 4 NY Mets fans and 5 Boston Red Sox fans

For example....
Yankees = 6, Mets = 4, Red Sox = 5.... Total = 15
Yankees = 12, Mets = 8, Red Sox = 10.... Total = 30
Yankees = 18, Mets = 12, Red Sox = 15.... Total = 45
Notice that the TOTAL number of people will always be a multiple of 15, so we can use that deduction with the total that we're given (300 fans):

300/15 = 20 'groups' of fans:
(20)(6) = 120 Yankees fans
(20)(4) = 80 Mets fans
(20)(5) = 100 Red Sox Fans

Final Answer: B

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

Contact Rich at [email protected]

Like this post

Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

by Jeff@TargetTestPrep » Tue Apr 17, 2018 3:39 pm

swerve wrote:In a certain town in Connecticut, the ratio of NY Yankees fans to NY Mets fans is 3:2, and the ratio of the NY Mets fans to Boston Red Sox fans is 4:5. If there are 300 baseballs in the town, each of whom is a fan of exactly one of those three teams, how many NY Mets are there in this town?

A. 75
B. 80
C. 90
D. 120
E. 133

We can create the ratios:

Yankees : Mets = 3 : 2

Multiplying by 2 we have:

Yankees : Mets = 6 : 4

and

Mets : Red Sox = 4 : 5

So we can create the ratio:

Yankees : Mets : Red Sox = 6x : 4x : 5x

Now we can create the equation:

6x + 4x + 5x = 300

15x = 300

x = 20

So there are 4 x 20 = 80 Mets fans.

Answer: B

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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

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