Final answer:
To find the number of adult dogs in the kennel, we can set up an equation using the ratio of puppies to adult dogs. After solving the equation, we find that there are 36 adult dogs.
Step-by-step explanation:
To determine the number of adult dogs in the kennel, we will use the ratio of puppies to adult dogs which is given as 3:2. This means for every 3 puppies, there are 2 adult dogs. We know there are 90 dogs in total. First, we should find out the total number of parts in the ratio:
3 parts (for puppies) + 2 parts (for adult dogs) = 5 parts in total.
Now, we can find out how many dogs each part represents:
90 dogs ÷ 5 parts = 18 dogs per part.
Since the ratio tells us there are 2 parts of adult dogs, we can now find the total number of adult dogs:
2 parts × 18 dogs per part = 36 adult dogs.
OR
Given that the ratio of puppies to adult dogs is 3:2, we can set up the equation 3x + 2x = 90, where x represents the common ratio factor. Simplifying this equation gives us 5x = 90. Dividing both sides by 5, we find that x = 18.
Therefore, there are 2x = 36 adult dogs in the kennel.