Question

An animal shelter has 5 times as many cats as it has dogs. There are 75 cats at the shelter. If d= the number of dogs, which mathematical sentence expresses the information above? A. 5d=75 B. d/5=75 C. d/75=5 D. 75d=5

Answer 1

A. 5d=75
5 cats = 1 dog; 75 cats = d

Answer 2

A. 5D=75

Explanation:

To solve this problem, we have to translate this to equations.

5 times as many cats as it has dogs:

`C=5D`

That is, there are 5 times more cats than dogs, or the number of cats is five times than the number of dogs.

There are 75 cats.

`C=75`

Therefore, the expression would be

`75=5D \ or \ 5D=75`