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Bunuel
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.

Answer: B
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Bunuel
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%

\(C : D = 7 : 3\)
\(B : D = 5 : 6\)

Or, \(C : D : B = 14 : 6 : 5\)

Thus, Percentage of birds is \(\frac{5}{(16+4+5)}*100 = 20\)% , Answer must be (B) 20%
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There are 7 cats to 3 dogs and 6 birds to 5 dogs. What percent of the shop is birds..

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Cats : Dogs = 7 : 3 = 14 : 6

Birds : Dogs = 5 : 6

Cats : Dogs : Birds = 14 : 6 : 5 = 14a : 6a : 5a

% of Birds = \(\frac{5a}{14a + 6a + 5a}\)* 100 = \(\frac{5a}{25a}\)* 100 = \(\frac{100}{5}\)= 20%

The correct answer is B
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Nikkb
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



This is the way to do this problem. Way to see that the ratios can be made comparable
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Bunuel
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%

C:D=7:3
B:D=5:6

Multiply first by 2. We get C:D=14:6

Now we can write C:D:B=14:6:5

B=5/25=20%

Option B.
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