It is currently 15 Dec 2017, 04:20

# Decision(s) Day!:

CHAT Rooms | Wharton R1 | Stanford R1 | Tuck R1 | Ross R1 | Haas R1 | UCLA R1

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 25 Jun 2012
Posts: 65

Kudos [?]: 64 [0], given: 21

In a farm, the ratio of pigs to chickens is 13 to 28. When [#permalink]

### Show Tags

28 Oct 2012, 22:01
1
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

96% (01:06) correct 4% (00:55) wrong based on 56 sessions

### HideShow timer Statistics

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.

Kudos [?]: 64 [0], given: 21

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7800

Kudos [?]: 18133 [4], given: 236

Location: Pune, India
Re: Arithmetic In a farm, the ratio of pigs to chickens is 13 to [#permalink]

### Show Tags

28 Oct 2012, 22:11
4
KUDOS
Expert's post
1
This post was
BOOKMARKED
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

Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Kudos [?]: 18133 [4], given: 236 Math Expert Joined: 02 Sep 2009 Posts: 42620 Kudos [?]: 135705 [1], given: 12706 Re: In a farm, the ratio of pigs to chickens is 13 to 28. When [#permalink] ### Show Tags 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. _________________ Kudos [?]: 135705 [1], given: 12706 Manager Joined: 25 Jun 2012 Posts: 65 Kudos [?]: 64 [0], given: 21 Re: In a farm, the ratio of pigs to chickens is 13 to 28. When [#permalink] ### Show Tags 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? Kudos [?]: 64 [0], given: 21 Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7800 Kudos [?]: 18133 [0], given: 236 Location: Pune, India Re: In a farm, the ratio of pigs to chickens is 13 to 28. When [#permalink] ### Show Tags 03 Nov 2012, 20:53 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 Get started with Veritas Prep GMAT On Demand for$199

Veritas Prep Reviews

Kudos [?]: 18133 [0], given: 236

Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 635

Kudos [?]: 674 [3], given: 23

Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Re: In a farm, the ratio of pigs to chickens is 13 to 28. When [#permalink]

### Show Tags

03 Nov 2012, 21:48
3
KUDOS
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

Kudos [?]: 674 [3], given: 23

Non-Human User
Joined: 09 Sep 2013
Posts: 14835

Kudos [?]: 287 [0], given: 0

Re: In a farm, the ratio of pigs to chickens is 13 to 28. When [#permalink]

### Show Tags

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.
_________________

Kudos [?]: 287 [0], given: 0

Non-Human User
Joined: 09 Sep 2013
Posts: 14835

Kudos [?]: 287 [0], given: 0

Re: In a farm, the ratio of pigs to chickens is 13 to 28. When [#permalink]

### Show Tags

22 Apr 2016, 23:22
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.
_________________

Kudos [?]: 287 [0], given: 0

Re: In a farm, the ratio of pigs to chickens is 13 to 28. When   [#permalink] 22 Apr 2016, 23:22
Display posts from previous: Sort by