Mrs. Gomez has a ratio of 4 boys and 3 girls in her advisory class.  If Mrs. Gomez has a total of 28 students in her advisory class, how many are girls, g?

Complete the proportion by filling in the missing box and solve for g.

3	          g
             28

There are
girls in Mrs. Gomez’ advisory class.

Let's solve the problem by setting up the correct proportion and solving for \( g \).

Given:
- The ratio of boys to girls is \( 4:3 \).
- The total number of students is 28.

We need to find the number of girls, \( g \).

The ratio tells us that for every 4 boys, there are 3 girls. The total parts represented by this ratio are \( 4 + 3 = 7 \) parts.

Since the total number of students is 28, we can set up the proportion:

\[
\frac{3}{7} = \frac{g}{28}
\]

Now, solve for \( g \) by cross-multiplying:

\[
3 \times 28 = 7 \times g
\]

\[
84 = 7g
\]

Now, divide both sides by 7 to find \( g \):

\[
g = \frac{84}{7} = 12
\]

So, there are **12 girls** in Mrs. Gomez's advisory class.

Would you like further details or have any questions?

Here are 5 related questions for you to consider:
1. How many boys are in the class?
2. If 6 more students joined the class, keeping the same ratio, how many of them would be girls?
3. If there were 35 students in the class, how many would be girls?
4. How does the ratio of boys to girls affect the total number of students?
5. What would the ratio be if the number of boys was doubled while keeping the number of girls the same?

**Tip:** When setting up proportions, ensure that the relationship between the parts remains consistent with the given ratio.

Learn how to solve a ratio and proportion problem involving Mrs. Gomez's advisory class. Understand how to find the number of girls based on a given ratio and total number of students. Suitable for students in Grades 6-8.

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