GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Oct 2019, 11:57

### 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

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58453
The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

### Show Tags

14 Jun 2017, 02:56
00:00

Difficulty:

5% (low)

Question Stats:

92% (00:50) correct 8% (00:50) wrong based on 99 sessions

### HideShow timer Statistics

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

_________________
Director
Joined: 04 Dec 2015
Posts: 743
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

### Show Tags

14 Jun 2017, 03:05
1
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...
Manager
Joined: 17 Feb 2016
Posts: 90
Location: India
Concentration: General Management, Entrepreneurship
GMAT 1: 660 Q47 V36
GPA: 3.12
WE: Education (Internet and New Media)
The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

### Show Tags

14 Jun 2017, 05:41
1
3x+5X+4x=132
x=11
4x=44
_________________
Never stop fighting until you arrive at your destined place - that is, the unique you. Have an aim in life, continuously acquire knowledge, work hard, and have the perseverance to realise the great life. A. P. J. Abdul Kalam
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4772
Location: India
GPA: 3.5
Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

### Show Tags

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

_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Manager
Joined: 06 Dec 2016
Posts: 231
Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

### Show Tags

14 Jun 2017, 13:24
4/12 x 132 = 44
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8104
Location: United States (CA)
Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

### Show Tags

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.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4009
Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

### Show Tags

24 Jan 2018, 17:56
1
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...

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!!

RELATED VIDEO

_________________
Test confidently with gmatprepnow.com
Non-Human User
Joined: 09 Sep 2013
Posts: 13259
Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5  [#permalink]

### Show Tags

14 Jul 2019, 09:01
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.
_________________
Re: The ratio of dogs to cats to mice at Paws and Claws Pet Shop is 3 to 5   [#permalink] 14 Jul 2019, 09:01
Display posts from previous: Sort by