In a certain kindergarten, every child has got either a...

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BTGmoderatorLU: Moderator; Posts: 2505; Joined: Sun Oct 15, 2017 1:50 pm; Followed by:6 members

In a certain kindergarten, every child has got either a...

by BTGmoderatorLU » Fri Mar 23, 2018 6:07 pm

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In a certain kindergarten, every child has got either a dog or a cat or both. 18 children have got dogs only and 6 children have got both dogs and cats. If there are 30 children in the kindergarten, how many of them have cats?

A. 6
B. 12
C. 14
D. 16
E. 20

The OA is B.

I'm confused by this PS question. Experts, any suggestion about how to solve it? Thanks in advance.

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Source: Beat The GMAT — Problem Solving | Fri Mar 23, 2018 6:07 pm

Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pm; Thanked: 6 times; Followed by:5 members

by Vincen » Sat Mar 24, 2018 4:00 am

LUANDATO wrote:In a certain kindergarten, every child has got either a dog or a cat or both. 18 children have got dogs only and 6 children have got both dogs and cats. If there are 30 children in the kindergarten, how many of them have cats?

A. 6
B. 12
C. 14
D. 16
E. 20

The OA is B.

I'm confused by this PS question. Experts, any suggestion about how to solve it? Thanks in advance.

Hello LUANDATO.

Let's see if I can help you.

There are 30 children and 18 have got dogs only. Then the other 12 children have got cats or both, but in each case, all the 12 children have got cats. Therefore, the correct answer is the option B.

I hope it helps.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Fri May 24, 2019 3:06 pm

BTGmoderatorLU wrote:In a certain kindergarten, every child has got either a dog or a cat or both. 18 children have got dogs only and 6 children have got both dogs and cats. If there are 30 children in the kindergarten, how many of them have cats?

A. 6
B. 12
C. 14
D. 16
E. 20

The OA is B.

We can use the equation:

Total = Dogs only + Cats only + Both + Neither

30 = 18 + c + 6 + 0

30 = 24 + c

6 = c

Since 6 children have cats only and another 6 children have both cats and dogs, 12 children have cats.

Answer: B

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