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

It is currently 23 Sep 2014, 18:37

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

In a farm, the ratio of pigs to chickens is 13 to 28. When

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 25 Jun 2012
Posts: 65
Followers: 0

Kudos [?]: 8 [0], given: 21

In a farm, the ratio of pigs to chickens is 13 to 28. When [#permalink] New post 28 Oct 2012, 22:01
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

92% (02:36) correct 8% (00:55) wrong based on 24 sessions
In a farm, the ratio of pigs to chickens is 13 to 28. When 15 pigs were added to the farm, the ratio of pigs to chickens became 4 to 7. What was the original total number of pigs and chickens in the farm?

(A) 200
(B) 205
(C) 210
(D) 215
(E) 220

[Reveal] Spoiler:
I suppose that, [13][/28] + 15 pigs can be [16][/28] to reduce the fraction we probably will receive [4][/7],
so 3 in numrator is equal - 15 pigs
the total number of pigs before new comers = 13*5=75

how can I get the number of chickens?

Thanx

Last edited by actleader on 29 Oct 2012, 21:54, edited 2 times in total.
Expert Post
4 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4791
Location: Pune, India
Followers: 1123

Kudos [?]: 5107 [4] , given: 164

Re: Arithmetic In a farm, the ratio of pigs to chickens is 13 to [#permalink] New post 28 Oct 2012, 22:11
4
This post received
KUDOS
Expert's post
actleader wrote:
Hi! Could you help me with tne next problem solving question.

In a farm, the ratio of pigs to chickens is 13 to 28. When 15 pigs were added to the farm, the ratio of pigs to chickens became 4 to 7. What was the original total number of pigs and chickens in the farm?

I suppose that, [13][/28] + 15 pigs can be [16][/28] to reduce the fraction we probably will receive [4][/7],
so 3 in numrator is equal - 15 pigs
the total number of pigs before new comers = 13*5=75

how can I get the number of chickens?

Thanx


Pigs:Chicken = 13:28
No of pigs = 13x, No of chicken = 28x

When 15 more pigs were added, ratio becomes 4:7 i.e.

\frac{(13x+15)}{28x} = \frac{4}{7}
x = 5

Initially, the no of pigs was 13x = 13*5 = 65
No of chicken was 28x = 28*5 = 140
Original total = 205

or Original total = 13x + 28x = 41x = 41*5 = 205
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 22982
Followers: 3518

Kudos [?]: 26760 [1] , given: 2715

Re: In a farm, the ratio of pigs to chickens is 13 to 28. When [#permalink] New post 29 Oct 2012, 00:29
1
This post received
KUDOS
Expert's post
actleader wrote:
In a farm, the ratio of pigs to chickens is 13 to 28. When 15 pigs were added to the farm, the ratio of pigs to chickens became 4 to 7. What was the original total number of pigs and chickens in the farm?

[Reveal] Spoiler:
I suppose that, [13][/28] + 15 pigs can be [16][/28] to reduce the fraction we probably will receive [4][/7],
so 3 in numrator is equal - 15 pigs
the total number of pigs before new comers = 13*5=75

how can I get the number of chickens?

Thanx


Similar questions to practice;
two-numbers-are-in-the-ratio-5-6-if-22-is-added-to-the-135168.html
a-physics-class-has-majors-and-non-majors-in-a-ratio-of-4-to-133685.html
the-ratio-of-two-positive-numbers-is-3-to-4-if-k-is-added-95198.html

Hope it helps.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Joined: 25 Jun 2012
Posts: 65
Followers: 0

Kudos [?]: 8 [0], given: 21

Re: In a farm, the ratio of pigs to chickens is 13 to 28. When [#permalink] New post 03 Nov 2012, 08:13
Bunuel wrote:
actleader wrote:
In a farm, the ratio of pigs to chickens is 13 to 28. When 15 pigs were added to the farm, the ratio of pigs to chickens became 4 to 7. What was the original total number of pigs and chickens in the farm?

[Reveal] Spoiler:
I suppose that, [13][/28] + 15 pigs can be [16][/28] to reduce the fraction we probably will receive [4][/7],
so 3 in numerator is equal - 15 pigs
the total number of pigs before new comers = 13*5=75

how can I get the number of chickens?

Thanx


Similar questions to practice;
two-numbers-are-in-the-ratio-5-6-if-22-is-added-to-the-135168.html
a-physics-class-has-majors-and-non-majors-in-a-ratio-of-4-to-133685.html
the-ratio-of-two-positive-numbers-is-3-to-4-if-k-is-added-95198.html

Hope it helps.


VeritasPrepKarishma, Bunuel
thanx for solving the problem but I'd like yo know how can I found the number of chickens when I deducted that 3 in numerator is equal - 15 pigs?
Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4791
Location: Pune, India
Followers: 1123

Kudos [?]: 5107 [0], given: 164

Re: In a farm, the ratio of pigs to chickens is 13 to 28. When [#permalink] New post 03 Nov 2012, 20:53
Expert's post
actleader wrote:

VeritasPrepKarishma, Bunuel
thanx for solving the problem but I'd like yo know how can I found the number of chickens when I deducted that 3 in numerator is equal - 15 pigs?


Yes, when you say that the the additional 3 is actually 15, you get 5 as the multiplier.

In your solution above, you wrote:
"the total number of pigs before new comers = 13*5=75" which should actually be "the total number of pigs before new comers = 13*5=65" (calculation error)

Next, no of chickens will be 28*5 = 140
(after all, you have already found that the multiplier of the ratio is 5. You multiplied 13 by 5 to get the number of pigs. You multiply 28 by 5 to get the number of chickens)
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

1 KUDOS received
Current Student
User avatar
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 648
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Followers: 35

Kudos [?]: 367 [1] , given: 23

GMAT ToolKit User Premium Member
Re: In a farm, the ratio of pigs to chickens is 13 to 28. When [#permalink] New post 03 Nov 2012, 21:48
1
This post received
KUDOS
actleader wrote:
In a farm, the ratio of pigs to chickens is 13 to 28. When 15 pigs were added to the farm, the ratio of pigs to chickens became 4 to 7. What was the original total number of pigs and chickens in the farm?

(A) 200
(B) 205
(C) 210
(D) 215
(E) 220

[Reveal] Spoiler:
I suppose that, [13][/28] + 15 pigs can be [16][/28] to reduce the fraction we probably will receive [4][/7],
so 3 in numrator is equal - 15 pigs
the total number of pigs before new comers = 13*5=75

how can I get the number of chickens?

Thanx


15sec approach to solve this question:
Original ratio is 13:28, which shows the original total must be a multiple of 41. Only 205 among answer choices is multiple of 41.
Ans B it is.

Further, since you are interested in finding number of chickens too..Once you've total number, you can deduce number of chickens, pigs and everything else since you've the ratio given.
_________________

Lets Kudos!!! ;-)
Black Friday Debrief

SVP
SVP
User avatar
Joined: 09 Sep 2013
Posts: 2468
Followers: 198

Kudos [?]: 38 [0], given: 0

Premium Member
Re: In a farm, the ratio of pigs to chickens is 13 to 28. When [#permalink] New post 30 Jan 2014, 10:58
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

Re: In a farm, the ratio of pigs to chickens is 13 to 28. When   [#permalink] 30 Jan 2014, 10:58
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic If the average weight of the chickens on Farm One is 12 Gnpth 7 15 Jul 2014, 22:58
5 Experts publish their posts in the topic Initially, the ratio of potbellied pigs to carrots in a room Aristocrat 6 01 May 2013, 09:01
3 Experts publish their posts in the topic A farm has chickens, cows and sheep. There are three times manalq8 6 12 Jan 2012, 07:00
22 Experts publish their posts in the topic chickens - algebra (m08q13) bmwhype2 30 27 Dec 2007, 11:33
Display posts from previous: Sort by

In a farm, the ratio of pigs to chickens is 13 to 28. When

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| 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®.