Question

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats. Show your work.

Answer 1

It would be 5/3 = 25/x 5•x equals 5x and 25•3 equals 75 so your problem should look like this at this point 5x=75
so then your next step is to divide 75 divided by 5 then your answer is x = 15

Answer 2

The total number of cats in the animal shelter is 15 cats

If in an animal shelter, the ratio of dogs to cats is 5 to 3, the total animal in the shelter is expressed as;

Total animal = 5 + 3 = 8 animals

If the total number of dogs is 25 dogs

To get total animals, we will use the equation 5/8 of x = 25

x = $\frac{8\times 25}{5}$ = 40 animals

Number of cats = 40 - 25

Number of cats = 15 cats

Hence the number of cats in the animal shelter is 15 cats

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