The ratio of cats to dogs in a pet store is 3:2. If there are 12 cats, how many dogs are there?

The ratio of cats to dogs is given as 3:2, which means for every 3 cats, there are 2 dogs.

To solve the problem, we set up a proportion based on the ratio:
\[
\frac{3}{2} = \frac{12}{x}
\]
Where \(x\) represents the number of dogs. We solve for \(x\) by cross-multiplying:
\[
3x = 12 \times 2
\]
\[
3x = 24
\]
Now, divide both sides by 3:
\[
x = \frac{24}{3} = 8
\]

So, there are 8 dogs.

Would you like more details on solving proportions, or have any other questions?

Here are 5 related questions to consider:
1. If the ratio were 4:3 instead, how many dogs would there be for 12 cats?
2. What would the total number of pets be in the store with 12 cats and the calculated number of dogs?
3. If there are 15 dogs, how many cats would there be with the same ratio of 3:2?
4. What if the number of cats doubled? How many dogs would there be in that case?
5. How would the answer change if the ratio of cats to dogs were reversed (2:3)?

**Tip**: When working with ratios, always ensure both parts of the ratio scale up or down proportionally!

Learn how to solve a simple proportion where the ratio of cats to dogs is 3:2, and there are 12 cats. This step-by-step guide shows how to find the number of dogs using cross-multiplication. Perfect for students in Grades 5-7 working with ratios and proportions.

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