Question

The ratio of boys to girls in Ms. Goodin's class is 2 to 3. There are 18 girls in the class. What is the total number of students in Ms. Goodin's class?

Answer 1

To solve the problem, we start by noting the ratio of boys to girls in Ms. Goodin's class, which is given as 2 to 3. This means that for every 2 boys, there are 3 girls.

Let’s define the number of boys as \( 2x \) and the number of girls as \( 3x \), where \( x \) is a common multiplier.

According to the information given, there are 18 girls in the class. We can set up the following equation based on the ratio:

\[
3x = 18
\]

Now, we will solve for \( x \):

\[
x = \frac{18}{3} = 6
\]

Now that we have the value of \( x \), we can find the number of boys:

\[
\text{Number of boys} = 2x = 2 \times 6 = 12
\]

Next, we find the total number of students in the class by adding the number of boys and girls:

\[
\text{Total number of students} = \text{Number of boys} + \text{Number of girls} = 12 + 18 = 30
\]

Therefore, the total number of students in Ms. Goodin's class is:

\[
\boxed{30}
\]