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The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5

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The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

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New post 14 Jun 2017, 02:56
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The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5 to 4. If those are the only animals at the shop and there are 132 animals at the pet shop how many of them are mice?

A. 11
B. 33
C. 44
D. 55
E. 88

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Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

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New post 14 Jun 2017, 03:05
Bunuel wrote:
The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5 to 4. If those are the only animals at the shop and there are 132 animals at the pet shop how many of them are mice?

A. 11
B. 33
C. 44
D. 55
E. 88


Given Total animals = 132
Dogs : Cats : Mice = 3 : 5 : 4
Total = 3x + 5x + 4x
132 = 12x
x = \(\frac{132}{12}\) = 11

Number of mice = 4x = \(4*11\) = 44. Answer C...
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The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

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New post 14 Jun 2017, 05:41
3x+5X+4x=132
x=11
4x=44
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Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

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New post 14 Jun 2017, 07:43
Bunuel wrote:
The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5 to 4. If those are the only animals at the shop and there are 132 animals at the pet shop how many of them are mice?

A. 11
B. 33
C. 44
D. 55
E. 88


( 3 + 5 + 4 ) = 12 represents 132 animals...

So, 1 represents 11 animals.

Total number of mice = 4*11 = 44

Thus, the correct answer will be (C) 44

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Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

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New post 14 Jun 2017, 13:24
4/12 x 132 = 44
Answer is C
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Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

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New post 15 Jun 2017, 16:25
Bunuel wrote:
The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5 to 4. If those are the only animals at the shop and there are 132 animals at the pet shop how many of them are mice?

A. 11
B. 33
C. 44
D. 55
E. 88


We are given that dogs : cats : mice = 3x : 5x : 4x

Since there are 132 total animals:

3x + 5x + 4x = 132

12x = 132

x = 11

Thus, there are 4(11) = 44 mice.

Answer: C
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Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

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New post 24 Jan 2018, 17:56
Top Contributor
Bunuel wrote:
The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5 to 4. If those are the only animals at the shop and there are 132 animals at the pet shop how many of them are mice?

A. 11
B. 33
C. 44
D. 55
E. 88


One more approach:

Given: ratio of dogs to cats to mice = 3 : 5 : 4
So, some possible scenarios are:
3 dogs, 5 cats, and 4 mice
6 dogs, 10 cats, and 8 mice
9 dogs, 15 cats, and 12 mice
12 dogs, 20 cats, and 16 mice
.
.
.
IMPORTANT: Notice that the number of mice is always divisible by 4.
So, the correct answer must be divisible by 4.
ELIMINATE A, B and D

Now let's test the remaining answer choices...

Answer choice C (44 mice)
We can extrapolate our list of possible scenarios so that we have 44 mice
We get: 33 dogs, 55 cats, and 44 mice
Add the values to get: 33 + 55 + 44 = 132 PERFECT!!

Answer: C

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Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5 &nbs [#permalink] 24 Jan 2018, 17:56
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