Find all School-related info fast with the new School-Specific MBA Forum

It is currently 29 May 2016, 15:33
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Initially, the ratio of potbellied pigs to carrots in a room

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

3 KUDOS received
Manager
Manager
avatar
Joined: 29 Jul 2012
Posts: 189
GMAT Date: 11-18-2012
Followers: 0

Kudos [?]: 61 [3] , given: 23

Initially, the ratio of potbellied pigs to carrots in a room [#permalink]

Show Tags

New post 01 May 2013, 10:01
3
This post received
KUDOS
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

91% (02:09) correct 9% (02:27) wrong based on 78 sessions

HideShow timer Statistics

Initially, the ratio of potbellied pigs to carrots in a room had been 1:60. After the potbellied pigs ate most of the carrots, though, the new ratio was 3:1. If there were 6 potbellied pigs in the room, how many carrots did they eat, total?

A. 350
B. 300
C. 358
D. 200
E. 275
[Reveal] Spoiler: OA

_________________

Thriving for CHANGE

2 KUDOS received
Intern
Intern
avatar
Joined: 14 Feb 2013
Posts: 32
Schools: Duke '16
Followers: 1

Kudos [?]: 31 [2] , given: 14

Re: Initially, the ratio of potbellied pigs to carrots in [#permalink]

Show Tags

New post 01 May 2013, 10:09
2
This post received
KUDOS
Aristocrat wrote:
Initially, the ratio of potbellied pigs to carrots in a room had been 1:60. After the potbellied pigs ate most of the
carrots, though, the new ratio was 3:1. If there were 6 potbellied pigs in the room,
how many carrots did they eat, total?

A)350
B)300
C)358
D)200
E)275
Can some one explain me with above question


Initially, the ratio of potbellied pigs (P) to carrots (C) in a room had been 1:60.
Therefore, \(\frac{P}{C} = \frac{1}{60}\)
And there were 6 potbellied pigs in the room, so, \(\frac{P}{C} =\frac{6}{360}\) i.e no. of pigs = 6, no. of carrots initially = 360

After the potbellied pigs ate most of the carrots, though, the new ratio was 3:1.
Therefore, \(\frac{P}{C} = \frac{3}{1}\) As the number of pigs will remain 6, the no. of pigs and carrots will be \(\frac{P}{C}= \frac{6}{2}\) i.e no. of pigs = 6, no. of carrots remaining = 2

So, Initially there were 360 carrots, and after the pigs ate most of the carrots 2 were left
So the pigs ate 360-2 = 358 carrots

Answer : C
_________________

Consider giving +1 Kudo :) when my post helps you.
Also, Good Questions deserve Kudos..!

2 KUDOS received
VP
VP
User avatar
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1123
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Followers: 169

Kudos [?]: 1700 [2] , given: 219

GMAT ToolKit User
Re: Initially, the ratio of potbellied pigs to carrots in [#permalink]

Show Tags

New post 01 May 2013, 11:02
2
This post received
KUDOS
1
This post was
BOOKMARKED
Before \(\frac{P}{C}=\frac{1}{60}\), after \(\frac{P}{C}=\frac{3}{1}\). The only number that changed is C, P is constant and equals 6.

\(\frac{6}{C}=\frac{1}{60}\) means \(C=360\), after \(\frac{6}{C}=\frac{3}{1}\) means there are \(C=2\) left. Number eaten \(360-2=358\)
C
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Manager
Manager
User avatar
Status: Pushing Hard
Affiliations: GNGO2, SSCRB
Joined: 30 Sep 2012
Posts: 89
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.33
WE: Analyst (Health Care)
Followers: 1

Kudos [?]: 74 [0], given: 11

Reviews Badge
Re: Initially, the ratio of potbellied pigs to carrots in [#permalink]

Show Tags

New post 01 May 2013, 11:31
Aristocrat wrote:
Initially, the ratio of potbellied pigs to carrots in a room had been 1:60. After the potbellied pigs ate most of the
carrots, though, the new ratio was 3:1. If there were 6 potbellied pigs in the room,
how many carrots did they eat, total?

A)350
B)300
C)358
D)200
E)275
Can some one explain me with above question


Given, Ratio Of Potbellied Pigs to Carrots in the room was 1:60 .
\(\Rightarrow\) \(\frac{P}{C}=\frac{1}{60}\) .
And as Given, Potbellied Pigs was 6 in number, so from this, we have....the following ::
\(\frac{P}{C}=\frac{1}{60}\) \(\Rightarrow\) \(\frac{6}{C}=\frac{1}{60}\)

Therefore, C = 360. Now, As Given, Potbellied Pigs ate some number of carrots lets say "x" carrots & the ratio will become 3:1. Therefore,
\(\frac{P}{C-x}=\frac{3}{1}\) \(\Rightarrow\) \(\frac{6}{C-x}=\frac{3}{1}\)
Therefore, 2 = C- x , or x = C -2 & as we know C = 360.
Therefore, X = 360 - 2.
Hence, 358.
_________________

If you don’t make mistakes, you’re not working hard. And Now that’s a Huge mistake.


Last edited by manishuol on 01 May 2013, 11:55, edited 2 times in total.
Expert Post
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Joined: 10 Oct 2012
Posts: 630
Followers: 72

Kudos [?]: 934 [0], given: 136

Premium Member
Re: Initially, the ratio of potbellied pigs to carrots in [#permalink]

Show Tags

New post 01 May 2013, 11:52
Expert's post
Aristocrat wrote:
Initially, the ratio of potbellied pigs to carrots in a room had been 1:60. After the potbellied pigs ate most of the
carrots, though, the new ratio was 3:1. If there were 6 potbellied pigs in the room,
how many carrots did they eat, total?

A)350
B)300
C)358
D)200
E)275
Can some one explain me with above question


The number of pigs remains constant. Initial given ratio : 1:60 = 6:360. Thus there were 360 carrots. Also, as the new ratio is 3:1=[6:the no of carrots left) . Only option C satisfies--> 6:(360-358) = 6:2 = 3:1.
_________________

All that is equal and not-Deep Dive In-equality

Hit and Trial for Integral Solutions

Manager
Manager
avatar
Joined: 29 Jul 2012
Posts: 189
GMAT Date: 11-18-2012
Followers: 0

Kudos [?]: 61 [0], given: 23

Re: Initially, the ratio of potbellied pigs to carrots in [#permalink]

Show Tags

New post 01 May 2013, 22:46
Thanks guys for an explanation.
i haven't comprehend question properly that pigs were constant
_________________

Thriving for CHANGE

Expert Post
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Joined: 10 Oct 2012
Posts: 630
Followers: 72

Kudos [?]: 934 [0], given: 136

Premium Member
Re: Initially, the ratio of potbellied pigs to carrots in [#permalink]

Show Tags

New post 01 May 2013, 22:51
Expert's post
Aristocrat wrote:
Thanks guys for an explanation.
i haven't comprehend question properly that pigs were constant


They always are,aren't they! :o
_________________

All that is equal and not-Deep Dive In-equality

Hit and Trial for Integral Solutions

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9694
Followers: 466

Kudos [?]: 120 [0], given: 0

Premium Member
Re: Initially, the ratio of potbellied pigs to carrots in a room [#permalink]

Show Tags

New post 25 Dec 2014, 13:30
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Senior Manager
Senior Manager
User avatar
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 443
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Followers: 1

Kudos [?]: 84 [0], given: 169

Re: Initially, the ratio of potbellied pigs to carrots in a room [#permalink]

Show Tags

New post 03 Jan 2015, 06:22
I did something similar:

P/C=1/60, first
And P=6. From this we can find the #of carrots:
1/60=6/C -->C=360. So, there were 360 carrots to begin with.

After the 6 pigs ate some carrots, the new ratio became:
P/C = 3/1 or,

3/1= 6/360-X
6=3(360-X)
6=1080-3X
3X=1074
X=1074/3
X=358, which is the # of carrots left.
Re: Initially, the ratio of potbellied pigs to carrots in a room   [#permalink] 03 Jan 2015, 06:22
    Similar topics Author Replies Last post
Similar
Topics:
9 Experts publish their posts in the topic The length, breadth and height of a room are in the ratio 3 : 2 : 1 GMATnavigator 8 21 Jul 2015, 10:52
4 Experts publish their posts in the topic Initially, the men and women in a room were in the ratio of 5:7. Six Bunuel 11 03 Jul 2015, 04:09
8 Experts publish their posts in the topic In the storage room of a certain bakery, the ratio of sugar nave 4 20 Jan 2013, 14:42
7 Experts publish their posts in the topic In a farm, the ratio of pigs to chickens is 13 to 28. When actleader 7 28 Oct 2012, 23:01
98 Experts publish their posts in the topic Of the 60 animals on a certain farm, 2/3 are either cows or DenisSh 55 12 Oct 2009, 00:59
Display posts from previous: Sort by

Initially, the ratio of potbellied pigs to carrots in a room

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.