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There are twice as many dog owners as cat owners

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There are twice as many dog owners as cat owners  [#permalink]

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New post Updated on: 22 Mar 2017, 08:37
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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


Kudos if you like the q!

Originally posted by Cez005 on 21 Mar 2017, 18:57.
Last edited by Cez005 on 22 Mar 2017, 08:37, edited 1 time in total.
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Re: There are twice as many dog owners as cat owners  [#permalink]

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New post 21 Mar 2017, 23:00
There are twice as many dog owners as cat owners.
Suppose cat owners = x; hence, dog owners = 2x.

Again, 200 owners own both animals; therefore, 200 owners own cats.
Hence, dog owners = 2*200 = 400.

Answer C.

Please Note: "There are twice as many dog owners as cat owners, and the number of owners of both animals is double the number of cat owners. If 200 owners own both animals, how many owners own only a dog?"

Not sure if the highlighted part is conveying the correct meaning.
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Re: There are twice as many dog owners as cat owners  [#permalink]

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New post 22 Mar 2017, 01:37
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Cez005 wrote:
There are twice as many dog owners as cat owners, and the number of owners of both animals is double the number of cat owners. If 200 owners own both animals, how many owners own only a dog?

A. 100
B. 200
C. 400
D. 600
E. 700


Kudos if you like the q!


"the number of owners of both animals is double the number of cat owners"
is not possible. There is probably a typo.
You need to correct it to "the number of owners of both animals is double the number of only cat owners"

Both = 200
Only cat owners = 100

Total cat owners = 200+100 = 300

We know "There are twice as many dog owners as cat owners"
So total dog owners = 2*300 = 600

Only dog owners = Dog owners - Both = 600 - 200 = 400

Answer (C)
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Re: There are twice as many dog owners as cat owners  [#permalink]

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New post 22 Mar 2017, 08:38
VeritasPrepKarishma wrote:
Cez005 wrote:
There are twice as many dog owners as cat owners, and the number of owners of both animals is double the number of cat owners. If 200 owners own both animals, how many owners own only a dog?

A. 100
B. 200
C. 400
D. 600
E. 700


Kudos if you like the q!


"the number of owners of both animals is double the number of cat owners"
is not possible. There is probably a typo.
You need to correct it to "the number of owners of both animals is double the number of only cat owners"

Both = 200
Only cat owners = 100

Total cat owners = 200+100 = 300

We know "There are twice as many dog owners as cat owners"
So total dog owners = 2*300 = 600

Only dog owners = Dog owners - Both = 600 - 200 = 400

Answer (C)


Thanks, corrected.
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Re: There are twice as many dog owners as cat owners  [#permalink]

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New post 05 Jul 2018, 15:54
Cez005 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



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.

Answer: C
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Re: There are twice as many dog owners as cat owners &nbs [#permalink] 05 Jul 2018, 15:54
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