Question

Dr. Clark, a small-animal veterinarian, treats only cats, dogs, and birds. There are 2,035 animals in his patient files. There are 4 times as many cats as birds. There are 6 times as many dogs as birds.

a) How many cats are in Dr. Clark's patient files?
b) How many dogs are in Dr. Clark's patient files?
c) How many birds are in Dr. Clark's patient files?
d) What is the total number of animals in Dr. Clark's patient files?

Answer 1

To solve this problem, we can set up a system of equations using the given information. Let's denote the number of birds as B. According to the problem, there are 4 times as many cats as birds, so the number of cats is 4B. There are also 6 times as many dogs as birds, so the number of dogs is 6B.

Step-by-step explanation:

To solve this problem, we can set up a system of equations using the given information. Let's denote the number of birds as B. According to the problem, there are 4 times as many cats as birds, so the number of cats is 4B. There are also 6 times as many dogs as birds, so the number of dogs is 6B. We can now write the equation: 4B + 6B + B = 2,035. Simplifying, we get 11B = 2,035. Dividing both sides by 11, we find that B = 185.

a) To find the number of cats, we multiply the number of birds by 4: 4 * 185 = 740.

b) To find the number of dogs, we multiply the number of birds by 6: 6 * 185 = 1,110.

c) The number of birds is 185.

d) The total number of animals is the sum of the number of cats, dogs, and birds: 740 + 1,110 + 185 = 2,035.