NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 19:46 It is currently 23 Apr 2024, 19:46
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

In 1979 approximately 1/3 of the 37.3 million airline passengers trave

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618612 [16]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink] New post   02 Nov 2015, 08:45
3
Kudos
13
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

76% (01:56) correct 24% (02:04) wrong based on 520 sessions
Hide Show timer Statistics
In 1979 approximately 1/3 of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport and 4 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year?

(A) 18.6
(B) 9.3
(C) 6.2
(D) 3.1
(E) 1.6
ShowHide Answer
Official Answer
E
Most Helpful Reply
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29894 [8]
Given Kudos: 799
Location: Canada
Send PM
In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink] New post   Updated on: 11 Jan 2021, 11:19
5
Kudos
3
Bookmarks
Expert Reply
Top Contributor
Bunuel wrote:
In 1979 approximately 1/3 of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport and 4 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year?

(A) 18.6
(B) 9.3
(C) 6.2
(D) 3.1
(E) 1.6


This question illustrates the importance of ALWAYS checking the answer choices BEFORE getting bogged down with time-consuming calculations.
For more on this important strategy, you can watch the video below

Since the answer choices are VERY spread apart, we can be quite aggressive in our rounding and estimation.

In 1979 approximately 1/3 of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport.
Let's say that "In 1979 approximately 1/3 of the 36 million airline passengers traveling to or from the United States used Kennedy Airport. "
1/3 of 36 = 12
So, 12 million passengers used Kennedy Airport

The number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport
12 million passengers used Kennedy Airport
1/2 of 12 million = 6 million
So, 6 million passengers used Miami Airport

The number of such passengers that used Miami Airport was 4 times the number that used Logan Airport
In other words, the number of such passengers that used Logan Airport was 1/4 the number that used Miami Airport
1/4 of 6 million = 1.5 million

So, 1.5 million passengers used Logan Airport

Check the answer choices . . . only answer choice E is close to 1.5

Answer: E

RELATED VIDEO

Originally posted by BrentGMATPrepNow on 01 Jan 2019, 16:24.
Last edited by BrentGMATPrepNow on 11 Jan 2021, 11:19, edited 1 time in total.
General Discussion
User avatar
G
CounterSniper
Director
Director
Joined: 20 Feb 2015
Posts: 631
Own Kudos [?]: 711 [2]
Given Kudos: 74
Concentration: Strategy, General Management
Send PM
In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink] New post   02 Nov 2015, 11:08
2
Kudos
number of
passengers using Kennedy airport = 37/3 =~12.43
Passengers using Miami airport = 12.43/2=~6.2
passengers using logan airport = 6.2/4 =~1.54

so E
User avatar
P
Pritishd
UNC Kenan Flagler Moderator
Joined: 18 Jul 2015
Posts: 238
Own Kudos [?]: 247 [0]
Given Kudos: 120
GMAT 1: 530 Q43 V20
WE:Analyst (Consumer Products)
Send PM
GMAT ToolKit User
Re: In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink] New post   18 May 2020, 12:25
BrentGMATPrepNow wrote:
Bunuel wrote:
In 1979 approximately 1/3 of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport and 4 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year?

(A) 18.6
(B) 9.3
(C) 6.2
(D) 3.1
(E) 1.6


This question illustrates the importance of ALWAYS checking the answer choices BEFORE getting bogged down with time-consuming calculations.
For more on this important strategy, you can watch the video below

Since the answer choices are VERY spread apart, we can be quite aggressive in our rounding and estimation.

In 1979 approximately 1/3 of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport.
Let's say that "In 1979 approximately 1/3 of the 36 million airline passengers traveling to or from the United States used Kennedy Airport. "
1/3 of 36 = 12
So, 12 million passengers used Kennedy Airport

The number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport
12 million passengers used Kennedy Airport
1/2 of 12 million = 6 million
So, 6 million passengers used Miami Airport

The number of such passengers that used Miami Airport was 4 times the number that used Logan Airport
In other words, the number of such passengers that used Logan Airport was 1/4 the number that used Miami Airport
1/4 of 6 million = 1.5 million

So, 1.5 million passengers used Logan Airport

Check the answer choices . . . only answer choice E is close to 1.5

Answer: E

RELATED VIDEO FROM OUR COURSE


Hi Brent,

In general when we have statements like 'Miami Airport was 1/2 the number that used Kennedy Airport and 4 times the number that used Logan Airport', we interpret them as \(M = \frac{1}{2}K + 4L\)

Any specific reason for spliting into two equations here?

Warm Regards,
Pritishd
User avatar
P
aggvipul
Manager
Manager
Joined: 15 Nov 2017
Status:Current Student
Posts: 238
Own Kudos [?]: 368 [0]
Given Kudos: 28
Concentration: Operations, Marketing
Schools: IIML-IPMX '22 (A)
WE:Operations (Retail)
Send PM
Re: In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink] New post   18 May 2020, 12:53
Bunuel wrote:
In 1979 approximately 1/3 of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport and 4 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year?

(A) 18.6
(B) 9.3
(C) 6.2
(D) 3.1
(E) 1.6


Lets not do calculations rather look at the kind of formula that emerges finally- \frac{37.3}{4*3*2}
Since, 4*3*2 = 24, therefore the division would result in 1 < number < 2, hence answer E
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29894 [0]
Given Kudos: 799
Location: Canada
Send PM
In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink] New post   Updated on: 13 Oct 2022, 10:55
Expert Reply
Top Contributor
Pritishd wrote:

Hi Brent,

In general when we have statements like 'Miami Airport was 1/2 the number that used Kennedy Airport and 4 times the number that used Logan Airport', we interpret them as \(M = \frac{1}{2}K + 4L\)

Any specific reason for spliting into two equations here?

Warm Regards,
Pritishd


EDIT: Someone just pointed out that my earlier response was incorrect. I should have read it better.
Here's my new response to the above question:

I think you may have misinterpreted information in the question.

It tells us that: the number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport and 4 times the number that used Logan Airport
In other words: M = 0.5K and M = 4L

I believe you are reading the information as: the number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport PLUS 4 times the number that used Logan Airport

Originally posted by BrentGMATPrepNow on 18 May 2020, 13:57.
Last edited by BrentGMATPrepNow on 13 Oct 2022, 10:55, edited 1 time in total.
User avatar
S
Kimberly77
Senior Manager
Senior Manager
Joined: 16 Nov 2021
Posts: 476
Own Kudos [?]: 27 [0]
Given Kudos: 5900
Location: United Kingdom
Send PM
Re: In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink] New post   13 Oct 2022, 04:01
Hi BrentGMATPrepNow, If I use M=1/2K+4L
M = 1/2 (12.4) + 4L
M = 6 + 4L or L = M-6/4
Not sure how to proceed from here in order to get 1/4 of 6 million = 1.5 million or have I missed something here? Thanks Brent.
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29894 [0]
Given Kudos: 799
Location: Canada
Send PM
In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink] New post   Updated on: 13 Oct 2022, 10:54
Expert Reply
Top Contributor
Kimberly77 wrote:
Hi BrentGMATPrepNow, If I use M=1/2K+4L
M = 1/2 (12.4) + 4L
M = 6 + 4L or L = M-6/4
Not sure how to proceed from here in order to get 1/4 of 6 million = 1.5 million or have I missed something here? Thanks Brent.


I think you may have misinterpreted information in the question.

It tells us that: the number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport and 4 times the number that used Logan Airport
In other words: M = 0.5K and M = 4L

I believe you are reading the information as: the number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport PLUS 4 times the number that used Logan Airport

Originally posted by BrentGMATPrepNow on 13 Oct 2022, 07:11.
Last edited by BrentGMATPrepNow on 13 Oct 2022, 10:54, edited 1 time in total.
User avatar
S
Kimberly77
Senior Manager
Senior Manager
Joined: 16 Nov 2021
Posts: 476
Own Kudos [?]: 27 [0]
Given Kudos: 5900
Location: United Kingdom
Send PM
Re: In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink] New post   13 Oct 2022, 10:16
BrentGMATPrepNow wrote:
Pritishd wrote:

Hi Brent,

In general when we have statements like 'Miami Airport was 1/2 the number that used Kennedy Airport and 4 times the number that used Logan Airport', we interpret them as \(M = \frac{1}{2}K + 4L\)

Any specific reason for spliting into two equations here?

Warm Regards,
Pritishd


I broke it into steps to make sure I didn't lose anyone.
That said, I broke that step into pieces (as you probably did).
When you read "Miami Airport was 1/2 the number that used Kennedy Airport," you got \(M = \frac{1}{2}K\)
When you continued reading "....and 4 times the number that used Logan Airport" you got \(M = \frac{1}{2}K + 4L\)

Same idea. Different execution.

Cheers,
Brent


Thanks Brent BrentGMATPrepNow . so M = 0.5K and M = 4L is not equal to \(M = \frac{1}{2}K + 4L\) ?
I followed calculation from this post therefore got stuck in M = 1/2 (12.4) + 4L
M = 6 + 4L or L = M-6/4 ?

So this is not correct then?
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29894 [0]
Given Kudos: 799
Location: Canada
Send PM
Re: In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink] New post   13 Oct 2022, 11:00
Expert Reply
Top Contributor
Kimberly77 wrote:

Thanks Brent BrentGMATPrepNow . so M = 0.5K and M = 4L is not equal to \(M = \frac{1}{2}K + 4L\) ?
I followed calculation from this post therefore got stuck in M = 1/2 (12.4) + 4L
M = 6 + 4L or L = M-6/4 ?

So this is not correct then?


Sorry, Kimberly77.
One of my earlier responses to a student's question was incorrect. Please see above.

The answer to your question is no, the pair of equations \(M = 0.5K\) and \(M = 4L\) cannot be combined to get \(M = \frac{1}{2}K + 4L\)

Consider these values: M = 20, K = 40 and L = 5
Notice that these values satisfy the equations \(M = 0.5K\) and \(M = 4L\)

If we plug the same values into the equation \(M = \frac{1}{2}K + 4L\), we get: \(20 = (\frac{1}{2})40 + 4(5)\)
Simplify to get: \(20 = 20 + 20\), which is not true.
User avatar
S
Kimberly77
Senior Manager
Senior Manager
Joined: 16 Nov 2021
Posts: 476
Own Kudos [?]: 27 [0]
Given Kudos: 5900
Location: United Kingdom
Send PM
Re: In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink] New post   13 Oct 2022, 11:28
BrentGMATPrepNow wrote:
Kimberly77 wrote:

Thanks Brent BrentGMATPrepNow . so M = 0.5K and M = 4L is not equal to \(M = \frac{1}{2}K + 4L\) ?
I followed calculation from this post therefore got stuck in M = 1/2 (12.4) + 4L
M = 6 + 4L or L = M-6/4 ?

So this is not correct then?


Sorry, Kimberly77.
One of my earlier responses to a student's question was incorrect. Please see above.

The answer to your question is no, the pair of equations \(M = 0.5K\) and \(M = 4L\) cannot be combined to get \(M = \frac{1}{2}K + 4L\)

Consider these values: M = 20, K = 40 and L = 5
Notice that these values satisfy the equations \(M = 0.5K\) and \(M = 4L\)

If we plug the same values into the equation \(M = \frac{1}{2}K + 4L\), we get: \(20 = (\frac{1}{2})40 + 4(5)\)
Simplify to get: \(20 = 20 + 20\), which is not true.


Brilliant thanks BrentGMATPrepNow. Crystal clear now.
So "and" & "Plus" do not mean the same thing in Maths generally?
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29894 [0]
Given Kudos: 799
Location: Canada
Send PM
Re: In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink] New post   13 Oct 2022, 11:31
Expert Reply
Top Contributor
Kimberly77 wrote:

Brilliant thanks BrentGMATPrepNow. Crystal clear now.
So "and" & "Plus" do not mean the same thing in Maths generally?


Tricky question!
It really depends on the context.
If I say I have 3 cats and 5 dogs, and then the total number of pets I have = 3 + 5
User avatar
S
Kimberly77
Senior Manager
Senior Manager
Joined: 16 Nov 2021
Posts: 476
Own Kudos [?]: 27 [0]
Given Kudos: 5900
Location: United Kingdom
Send PM
Re: In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink] New post   13 Oct 2022, 11:34
BrentGMATPrepNow wrote:
Kimberly77 wrote:

Brilliant thanks BrentGMATPrepNow. Crystal clear now.
So "and" & "Plus" do not mean the same thing in Maths generally?


Tricky question!
It really depends on the context.
If I say I have 3 cats and 5 dogs, and then the total number of pets I have = 3 + 5



Noted thanks BrentGMATPrepNow :please: :)
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32631
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink] New post   23 Oct 2023, 08:42
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: In 1979 approximately 1/3 of the 37.3 million airline passengers trave [#permalink]
23 Oct 2023, 08:42
Moderators:
Bunuel
Math Expert
92883 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions