Question
an animal shelter has cats and dogs available for adoption in a ratio of 3: 5. if there are 25 dogs available for adoption, how many cats are there?
Answers
GPT 3.5
To solve this problem, you first need to determine the ratio of cats to dogs. The given ratio is 3:5, which means that for every 3 cats, there are 5 dogs.
Since you know there are 25 dogs available for adoption, you can set up and solve the following proportion:
3 cats / 5 dogs = x cats / 25 dogs
(3/5) = (x/25)
To solve for x (the number of cats available for adoption), you need to cross-multiply and solve for x:
3 * 25 = 5x
75 = 5x
Divide both sides of the equation by 5 to isolate x:
x = 75 / 5
x = 15
Therefore, there are 15 cats available for adoption.
Since you know there are 25 dogs available for adoption, you can set up and solve the following proportion:
3 cats / 5 dogs = x cats / 25 dogs
(3/5) = (x/25)
To solve for x (the number of cats available for adoption), you need to cross-multiply and solve for x:
3 * 25 = 5x
75 = 5x
Divide both sides of the equation by 5 to isolate x:
x = 75 / 5
x = 15
Therefore, there are 15 cats available for adoption.