There are twice as many dog owners as cat owners, and the number of owners of both animals is double the number of owners that own only a cat. If 200 owners own both animals, how many owners own only a dog?
A. 100
B. 200
C. 400
D. 600
E. 700
The OA is C.
There are a lot of equations here. May someone helps me? Please.
I'd really be thankful.
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There are twice as many dog owners as cat owners, and the
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Vincen
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Hello M7MBA.
The number of owners of both animals is double the number of owners that own only a cat. Since there are 200 owners own both animals then the number of owners that own only a cat is 100.
Therefore, the total number of cat owners is 200+100=300.
Now, since there are twice as many dog owners as cat owners, this implies that the total number of dog owners is 2*300=600.
Finally, the number of owners that ONLY have a dog is 600-200=400.
In conclusion, the correct answer is the option C.
The number of owners of both animals is double the number of owners that own only a cat. Since there are 200 owners own both animals then the number of owners that own only a cat is 100.
Therefore, the total number of cat owners is 200+100=300.
Now, since there are twice as many dog owners as cat owners, this implies that the total number of dog owners is 2*300=600.
Finally, the number of owners that ONLY have a dog is 600-200=400.
In conclusion, the correct answer is the option C.
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Scott@TargetTestPrep
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We are given that 200 owners own both animals, and this is double the number of owners who own only a cat. Thus, the number of cat-only owners is ½(200) = 100, and the number of cat owners is 100 + 200 = 300. Since there are twice as many dog owners as cat owners, there are 2(300) = 600 dog owners. Since 200 of them also own a cat, the number of dog-only owners is 600 - 200 = 400.M7MBA wrote:There are twice as many dog owners as cat owners, and the number of owners of both animals is double the number of owners that own only a cat. If 200 owners own both animals, how many owners own only a dog?
A. 100
B. 200
C. 400
D. 600
E. 700
Answer: C
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Hi All,
We're told that there are TWICE as many dog owners as cat owners, the number of owners of both animals is DOUBLE the number of owners that own only a cat and 200 owners own BOTH animals. We're asked for the number of owners who own only a dog. Sometimes GMAT questions are really just about properly organizing the given information and a bit of Arithmetic.
To start, we know that 200 people own BOTH animals (a cat and a dog).
We know that the number who own BOTH animals is DOUBLE those who own JUST a cat. Thus, 200/2 = 100 own JUST a cat.
At this point, we know that there are 300 cat owners (100 own just a cat, 200 own a cat and a dog).
We know that there are TWICE as many dog owners as cat owners; that would be 2(300) = 600 dog owners.
Since there are 200 people who own BOTH animals, there are 600 - 200 = 400 people who own JUST a dog.
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
We're told that there are TWICE as many dog owners as cat owners, the number of owners of both animals is DOUBLE the number of owners that own only a cat and 200 owners own BOTH animals. We're asked for the number of owners who own only a dog. Sometimes GMAT questions are really just about properly organizing the given information and a bit of Arithmetic.
To start, we know that 200 people own BOTH animals (a cat and a dog).
We know that the number who own BOTH animals is DOUBLE those who own JUST a cat. Thus, 200/2 = 100 own JUST a cat.
At this point, we know that there are 300 cat owners (100 own just a cat, 200 own a cat and a dog).
We know that there are TWICE as many dog owners as cat owners; that would be 2(300) = 600 dog owners.
Since there are 200 people who own BOTH animals, there are 600 - 200 = 400 people who own JUST a dog.
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
