To determine the number of dogs if there are 15 cats, we can set up a ratio table based on the original ratio of cats to dogs, which is 5 cats for every 2 dogs.
The ratio can be expressed as:
- Cats: 5
- Dogs: 2
We can find the number of dogs corresponding to 15 cats using a proportion based on this ratio:
\[ \frac{\text{Dogs}}{\text{Cats}} = \frac{2}{5} \]
Now, if we let \( x \) be the number of dogs when there are 15 cats, we can set up the equation:
\[ \frac{x}{15} = \frac{2}{5} \]
Cross-multiplying gives:
\[ 5x = 2 \times 15 \] \[ 5x = 30 \] \[ x = \frac{30}{5} = 6 \]
So, when there are 15 cats, there would be 6 dogs.
Now we can summarize this information in a ratio table:
| Cats | Dogs | |------|------| | 5 | 2 | | 10 | 4 | | 15 | 6 |
Thus, when there are 15 cats, there would be 6 dogs.
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