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
