High School

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An animal shelter has a total of 97 cats and dogs. Let C and D represent the number of cats and dogs in the animal shelter, respectively.

a) \( C + D = 97 \)
b) \( C - D = 97 \)
c) \( C \times D = 97 \)
d) \( \frac{C}{D} = 97 \)

Answer :

Final answer:

The task involves determining the correct mathematical equation that represents the total number of cats and dogs in an animal shelter, with the total being 97. The correct equation is C + D = 97, where 'C' represents cats and 'D' represents dogs, which when added give the total of 97 animals in the shelter. Therefore, the correct answer is option a) C + D = 97

Explanation:

The equations are:

C + D = 97: This equation states that the total number of cats plus the total number of dogs equals 97.

C - D = 97: This equation suggests that the number of cats minus the number of dogs equals 97, which is not realistic in this context as it implies there would be a very high number of cats or negative dogs.

C * D = 97: This equation implies that the product of the number of cats and dogs equals 97, which would be unlikely with such a high total number of animals.

C / D = 97: This equation suggests that the number of cats divided by the number of dogs equals 97, which is also not sensible in this context.

The correct representation is option a, where C and D add up to the total of 97 animals in the shelter.

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