Question

There are 2 dogs for every 5 cats at an animal shelter.Use this information to make a ratio table to determine how many dogs there would be if there were 15 cats.

Answer 1

To create a ratio table based on the given information that there are 2 dogs for every 5 cats, we can start by identifying the ratio of dogs to cats.

The original ratio is:
- Dogs : Cats = 2 : 5

Now, we want to find out how many dogs there would be if there are 15 cats.

To do this, we can set up a ratio table:

| Cats | Dogs |
|------|------|
| 5 | 2 |
| 10 | 4 |
| 15 | 6 |

Here's how we derived the values:

1. **For 5 Cats:** There are 2 Dogs
2. **For 10 Cats:** Since 10 is double 5, we double the number of dogs as well: \( 2 \times 2 = 4 \)
3. **For 15 Cats:** Since 15 is three times 5, we triple the number of dogs: \( 2 \times 3 = 6 \)

Thus, if there are 15 cats, there would be **6 dogs** at the animal shelter.

Answer 2

There are 5 turtles for every 6 sea lions at a zoo.How many turtles are there if there are 18 sea lions?

Answer 3

We start with the ratio of turtles to sea lions, which is given as:

- Turtles : Sea Lions = 5 : 6

To find out how many turtles there are when there are 18 sea lions, we can set up a proportion based on the ratio.

Since the ratio states that for every 6 sea lions, there are 5 turtles, we can express that as:

\[
\frac{Turtles}{Sea Lions} = \frac{5}{6}
\]

Let \( T \) be the number of turtles. We can set up the equation as follows:

\[
\frac{T}{18} = \frac{5}{6}
\]

Now, we can solve for \( T \) by cross-multiplying:

\[
6T = 5 \times 18
\]
\[
6T = 90
\]
\[
T = \frac{90}{6}
\]
\[
T = 15
\]

So, if there are 18 sea lions, there are **15 turtles** at the zoo.