Question

An animal shelter has a ratio of cats to dogs that is 9:7.

Part A
If the shelter only houses dogs and cats, what is the ratio of dogs to total animals?
A. 79 B. 72 C. 716 D. 916
Part B
A second shelter has a ratio of cats to dogs of 6 to 5. If both shelters have 18 cats, which shelter has more dogs?
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The shelter has more dogs.(first or second)

Answer 1

A) C. 7:16

B) second shelter

Explanation:

A) Given that the shelter has a ratio of cats to dogs that is 9:7 and only houses dogs and cats, then there are 7 dogs for every 7+9 = 16 total number of animals, that is, the ratio of dogs to total animals is 7:16.

B) A ratio of 6:5 means that there are 6 cats for every 5 dogs. If the second shelter has 18 (=6*3) cats, then it has 3*5 = 15 dogs. That is, 6:5 is equivalent to 18:15

The first shelter has 9 cats for every 7 dogs. If it has 18 (=9*2) cats, then it has 7*2 = 14 dogs. That is, 9:7 is equivalent to 18:14

Answer 2

C 7/16

Shelter B has more dogs

Explanation:

Part A

Cats : dogs : total

9 7 9+7=16

dogs/ total

7/16

Part B

Cats : dogs : total

6 5 6+5=11

If they both have 18 cats

Shelter A

Cats : dogs : total

9 7 16

Multiply by 2

18 14 32

Shelter B

Cats : dogs : total

6 5 11

Multiply by 3

18 15 33

Shelter A has 14 dogs, Shelter B has 15 dogs

Shelter B has more dogs