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# At a pet store, the ratio of cats to dogs is 7:3, and the ratio of bir

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Math Expert
Joined: 02 Sep 2009
Posts: 46280
At a pet store, the ratio of cats to dogs is 7:3, and the ratio of bir [#permalink]

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30 Aug 2017, 23:22
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Difficulty:

5% (low)

Question Stats:

92% (00:50) correct 8% (01:19) wrong based on 116 sessions

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At a pet store, the ratio of cats to dogs is 7:3, and the ratio of birds to dogs is 5:6. If the pet store only has birds, cats, and dogs, then birds represent what percent of all animals at the store?

A. 16.67%
B. 20%
C. 22.5%
D. 25%
E. 28.33%

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Director
Joined: 18 Aug 2016
Posts: 634
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: At a pet store, the ratio of cats to dogs is 7:3, and the ratio of bir [#permalink]

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30 Aug 2017, 23:29
Bunuel wrote:
At a pet store, the ratio of cats to dogs is 7:3, and the ratio of birds to dogs is 5:6. If the pet store only has birds, cats, and dogs, then birds represent what percent of all animals at the store?

A. 16.67%
B. 20%
C. 22.5%
D. 25%
E. 28.33%

Cat : Dog : Bird
14: 6 : 5
5/25 = 20%
B
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Luckisnoexcuse

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Joined: 02 Jul 2017
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GMAT 1: 730 Q50 V38
Re: At a pet store, the ratio of cats to dogs is 7:3, and the ratio of bir [#permalink]

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31 Aug 2017, 02:33
1
1
Given :

C/D =7/3 and B/D =5/6

To find ratio of all we have make D value same in both: C/D = 7/3 = 14/6

therefore C:D:B = 14:6:5

Total no of animals = 14x+6x+5x = 25x

Total no. of Birds =5x

% of Birds = 5x/25x * 100 = 20%

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Posts: 2570
Re: At a pet store, the ratio of cats to dogs is 7:3, and the ratio of bir [#permalink]

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02 Sep 2017, 07:22
Bunuel wrote:
At a pet store, the ratio of cats to dogs is 7:3, and the ratio of birds to dogs is 5:6. If the pet store only has birds, cats, and dogs, then birds represent what percent of all animals at the store?

A. 16.67%
B. 20%
C. 22.5%
D. 25%
E. 28.33%

We are given that the ratio of cats to dogs is 7: 3 = 14 : 6, and the ratio of birds to dogs is 5 : 6. Let’s re-express this latter ratio as dogs : birds is 6:5.

Thus, the ratio of cats : dogs : birds is 14 : 6 : 5.

Thus, birds represent 5/(14 + 6 + 5) = 5/25 = 1/5 = 20% of all animals in the store.

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Re: At a pet store, the ratio of cats to dogs is 7:3, and the ratio of bir   [#permalink] 02 Sep 2017, 07:22
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