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# Four extra-large sandwiches of exactly the same size were

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Joined: 10 Oct 2005
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Location: Hollywood
Four extra-large sandwiches of exactly the same size were  [#permalink]

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31 Jan 2007, 06:17
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Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 4. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?

(A) m+4/m(m-4)

(B) 2m-4/m(m-4)

(C) 4m-4/m(m-4)

(D) 4m-8/m(m-4)

(E) 4m-12/m(m-4)

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Director
Joined: 28 Dec 2005
Posts: 900
Re: Four extra-large sandwiches of exactly the same size were  [#permalink]

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31 Jan 2007, 06:25
1
3 sandwiches divided like this: 3/m
The last 1 sadwich divided like this: 1/(m-4)

If carol had one piece from each sandwich, that means she had (or at least I hope she did..):
(3/m+1/m-4) = 4m-12/m(m-4)
Senior Manager
Joined: 04 Jan 2006
Posts: 276
Re: Four extra-large sandwiches of exactly the same size were  [#permalink]

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31 Jan 2007, 07:09
TOUGH GUY wrote:
Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 4. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?

Good word problem!

There are total m students

Three of the sandwiches were evenly divided among the students
=> 3/m sandwich/student

4 students did not want any of the fourth sandwich
=> (m - 4) students still want the 4th sandwich (you greedy pigs!)

the 4th sandwich was evenly divided among the remaining students
=> 1/(m-4) sandwich/student

Carol got every piece that was divided (one of all the pigs from the group )
=> (3/m) + (1/(m-4))

the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich
=> [(3/m) + (1/(m-4)] / 1
=> (3*(m-4) + 1*m)/(m*(m-4))
=> (3m - 12 + m)/(m*(m-4)
=> (4m - 12)/m(m-4)

Director
Joined: 24 Aug 2006
Posts: 695
Location: Dallas, Texas
Re: Four extra-large sandwiches of exactly the same size were  [#permalink]

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02 Feb 2007, 00:25
Tough is a relative term but I think this one is really easy in absolute sense

3/m +1/(m-4)
=(3m-12+m)/m*(m-4)

(E)
_________________

"Education is what remains when one has forgotten everything he learned in school."

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Joined: 09 Sep 2013
Posts: 7776
Re: Four extra-large sandwiches of exactly the same size were  [#permalink]

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02 Apr 2017, 09:51
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Re: Four extra-large sandwiches of exactly the same size were &nbs [#permalink] 02 Apr 2017, 09:51
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The text passage contains a mathematical question and an answer to that question. The question is about dividing four extra-large sandwiches among a group of students and determining the fraction of a whole sandwich that Carol ate. The answer provided is (E) 4m-12/m(m-4).
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Aug 2018, 03:17

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# Four extra-large sandwiches of exactly the same size were

Author Message
Manager
Joined: 10 Oct 2005
Posts: 113
Location: Hollywood
Four extra-large sandwiches of exactly the same size were  [#permalink]

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31 Jan 2007, 06:17
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (00:00) wrong based on 3 sessions

### HideShow timer Statistics

Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 4. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?

(A) m+4/m(m-4)

(B) 2m-4/m(m-4)

(C) 4m-4/m(m-4)

(D) 4m-8/m(m-4)

(E) 4m-12/m(m-4)

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Director
Joined: 28 Dec 2005
Posts: 900
Re: Four extra-large sandwiches of exactly the same size were  [#permalink]

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31 Jan 2007, 06:25
1
3 sandwiches divided like this: 3/m
The last 1 sadwich divided like this: 1/(m-4)

If carol had one piece from each sandwich, that means she had (or at least I hope she did..):
(3/m+1/m-4) = 4m-12/m(m-4)
Senior Manager
Joined: 04 Jan 2006
Posts: 276
Re: Four extra-large sandwiches of exactly the same size were  [#permalink]

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31 Jan 2007, 07:09
TOUGH GUY wrote:
Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 4. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?

Good word problem!

There are total m students

Three of the sandwiches were evenly divided among the students
=> 3/m sandwich/student

4 students did not want any of the fourth sandwich
=> (m - 4) students still want the 4th sandwich (you greedy pigs!)

the 4th sandwich was evenly divided among the remaining students
=> 1/(m-4) sandwich/student

Carol got every piece that was divided (one of all the pigs from the group )
=> (3/m) + (1/(m-4))

the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich
=> [(3/m) + (1/(m-4)] / 1
=> (3*(m-4) + 1*m)/(m*(m-4))
=> (3m - 12 + m)/(m*(m-4)
=> (4m - 12)/m(m-4)

Director
Joined: 24 Aug 2006
Posts: 695
Location: Dallas, Texas
Re: Four extra-large sandwiches of exactly the same size were  [#permalink]

### Show Tags

02 Feb 2007, 00:25
Tough is a relative term but I think this one is really easy in absolute sense

3/m +1/(m-4)
=(3m-12+m)/m*(m-4)

(E)
_________________

"Education is what remains when one has forgotten everything he learned in school."

Non-Human User
Joined: 09 Sep 2013
Posts: 7776
Re: Four extra-large sandwiches of exactly the same size were  [#permalink]

### Show Tags

02 Apr 2017, 09:51
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.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: Four extra-large sandwiches of exactly the same size were &nbs [#permalink] 02 Apr 2017, 09:51
Display posts from previous: Sort by

# Events & Promotions

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user
The text passage contains a mathematical question and an answer to that question. The question is about dividing four extra-large sandwiches among a group of students and determining the fraction of a whole sandwich that Carol ate. The answer provided is (E) 4m-12/m(m-4).

TYPE: SINGLE_QUESTION_WITH_ANSWER