Ask a New Question
Menu

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.

3 answers

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.

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

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.