Question

The ratio of cats to dogs is 2:3. If there are 25 animals, how many are cats and how many are dogs?

Answer 1

To find the number of cats and dogs based on the given ratio of 2:3 and a total of 25 animals, we can set up the problem using a proportion.

Let:
- \( 2x \) be the number of cats
- \( 3x \) be the number of dogs

The total number of animals is given by:

\[
2x + 3x = 25
\]

Combining the terms gives:

\[
5x = 25
\]

Now, we can solve for \( x \):

\[
x = \frac{25}{5} = 5
\]

Now, we can find the number of cats and dogs:

- Number of cats: \( 2x = 2 \cdot 5 = 10 \)
- Number of dogs: \( 3x = 3 \cdot 5 = 15 \)

Thus, there are **10 cats** and **15 dogs**.