There are 80 dogs and cats in the same animal shelter the ratio of dogs to cats is 5 to 11 how many of the animals are dogs

1 answer

To find the number of dogs, we can use an algebraic approach.

Let's assume the number of dogs as 5x (since the ratio of dogs to cats is 5:11) and the number of cats as 11x.

According to the problem, the total number of animals in the shelter is 80.

Therefore, we have the equation:
5x + 11x = 80

Combining like terms,
16x = 80

To isolate x, divide both sides of the equation by 16:
16x/16 = 80/16
x = 5

So, the number of dogs is 5x = 5 * 5 = <<5*5=25>>25.

Therefore, there are 25 dogs in the animal shelter.