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In a farm, the ratio of pigs to chickens is 13 to 28. When [#permalink]
28 Oct 2012, 22:01

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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?

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.

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

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

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

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

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

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?

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

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

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. _________________

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

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