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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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29 Jan 2021, 09:43
29 Jan 2021, 09:43
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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
Kudos for the right answer and explanation
A. 11
B. 33
C. 44
D. 55
E. 88
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
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Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5
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29 Jan 2021, 10:24
29 Jan 2021, 10:24
1
Carcass 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
Kudos for the right answer and explanation
A. 11
B. 33
C. 44
D. 55
E. 88
Kudos for the right answer and explanation
APPROACH #1:
3 + 5 + 4 = 12
So, for every 12 animals , there are 3 dogs, 5 cats and 4 mice.
In other words, 4/12 the animals are mice
In other words, 1/3 the animals are mice
So if there are 132 animals, the number of mice = 1/3 of 132 = 44
Answer: C
APPROACH #2:
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
RELATED VIDEO
Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5
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24 Apr 2022, 17:37
24 Apr 2022, 17:37
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep 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.
