Question

Use this ratio table and answer how many dogs would there be when there are 12 cats?

Answer 1

8

Step-by-step explanation

We have the ratio table that gives the ratio of dogs to cats.

From the first column of the table, we see that the ratio of dogs to cats is

4 : 6.

Let the number of dogs when there are 12 cats be x.

So, the ratio of dogs to cats will be x : 12

Equating the two ratios:

`\begin{gathered} 4\text{ : 6 = x : 12} \\ \Rightarrow\text{ }(4)/(6)\text{ = }(x)/(12) \\ \text{Cross}-\text{ multiply and solve for x:} \\ \frac{4\cdot\text{ 12}}{6}\text{ = x} \\ \Rightarrow\text{ x = 8 dogs} \end{gathered}`

There will be 8 dogs.