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In a certain pet shop, the ratio of dogs to cats to bunnies in stock i

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In a certain pet shop, the ratio of dogs to cats to bunnies in stock i  [#permalink]

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New post 18 Oct 2015, 03:03
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Question Stats:

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In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 3 : 7 : 11. If the shop carries 196 dogs and bunnies total in stock, how many dogs are there?

A. 42
B. 66
C. 98
D. 112
E. 154

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Re: In a certain pet shop, the ratio of dogs to cats to bunnies in stock i  [#permalink]

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New post 18 Oct 2015, 03:54
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shasadou wrote:
In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 3 : 7 : 11. If the shop carries 196 dogs and bunnies total in stock, how many dogs are there?

A. 42
B. 66
C. 98
D. 112
E. 154


Let us assume the number of dogs, cats and bunnies to be 3x, 7x and 11x

Total dogs and bunnies = 14x.
And we are given that 14x = 196.

Hence x = 14.

Dogs = 3x = 3*14 = 42 (Option A)
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Re: In a certain pet shop, the ratio of dogs to cats to bunnies in stock i  [#permalink]

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New post 18 Oct 2015, 04:00
1
shasadou wrote:
In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 3 : 7 : 11. If the shop carries 196 dogs and bunnies total in stock, how many dogs are there?

A. 42
B. 66
C. 98
D. 112
E. 154


Ratio of dogs to bunnies = 3:11
Therefore dogs/(dogs + bunnies) = 3/(11+3) = 3/14
Therefore dogs/196 = 3/14
Therefore dogs = 196 * 3/14 = 42

ans =a
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Re: In a certain pet shop, the ratio of dogs to cats to bunnies in stock i  [#permalink]

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New post 18 Oct 2015, 19:32
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Hi shasadou,

These types of ratio questions can be approached in a variety of ways, but this question includes some rather significant 'shortcuts' that you can take advantage of.

First off, the information about the cats is absolutely irrelevant. The information that matters is the ratio of dogs to bunnies and the TOTAL number of dogs and bunnies in the shop.

The ratio of dogs to bunnies is 3:11 - that means that there are MORE than 3 times as many bunnies as dogs.

For example
3 dogs and 11 bunnies = 14 total
6 dogs and 22 bunnies = 28 total
9 dogs and 33 bunnies = 42 total
etc.

Thus, whatever the total number of dogs and bunnies is, the number of dogs would be LESS than 1/4 of that total (see the above examples for proof). Here, the total number of dogs and bunnies is 196. Since the total number of dogs is LESS than 1/4 of 196, and the answer choices are rather 'spread out', you'll find that only one answer 'fits' that description...

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Re: In a certain pet shop, the ratio of dogs to cats to bunnies in stock i  [#permalink]

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New post 26 Mar 2016, 18:23
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Here is a visual that should help.
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Screen Shot 2016-03-26 at 6.22.53 PM.png
Screen Shot 2016-03-26 at 6.22.53 PM.png [ 114.93 KiB | Viewed 5788 times ]


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Re: In a certain pet shop, the ratio of dogs to cats to bunnies in stock i  [#permalink]

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New post 11 Apr 2017, 12:29
shasadou wrote:
In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 3 : 7 : 11. If the shop carries 196 dogs and bunnies total in stock, how many dogs are there?

A. 42
B. 66
C. 98
D. 112
E. 154


We can create the following ratio:

dogs to cats to bunnies = 3x : 7x : 11x

Since the shop carries 196 dogs and bunnies total in stock, we ignore the cats and include only dogs and bunnies in our calculation:

3x + 11x = 196

14x = 196

x = 14

Thus, there are 3(14) = 42 dogs.

Answer: A
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Re: In a certain pet shop, the ratio of dogs to cats to bunnies in stock i  [#permalink]

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Re: In a certain pet shop, the ratio of dogs to cats to bunnies in stock i   [#permalink] 09 Mar 2019, 08:32
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