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.

To solve for the number of girls, \( g \), in Mrs. Gomez's advisory class, we can set up a proportion based on the given ratio and total number of students.

The ratio of boys to girls is given as \( 4:3 \). This means for every 4 boys, there are 3 girls.

We are also given that there are a total of 28 students in the class. The proportion can be set up as follows:

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

Here’s how it works:
- The numerator \( 3 \) represents the number of girls in the ratio.
- The denominator \( g \) represents the actual number of girls in the class.
- The ratio of total parts (4 boys + 3 girls = 7 parts) to the total number of students \( 28 \) is the other side of the proportion.

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

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

\[
84 = 7g
\]

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

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

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. If there are 40 students, how many girls would there be?
2. What would be the number of boys in the class if the total number of students is 35?
3. If the ratio changed to 5 boys for every 3 girls, how many girls would there be in a class of 32?
4. What is the total number of boys in the class if the ratio remains the same and there are 21 students?
5. How would the ratio change if 2 more girls joined the class?

**Tip:** When working with ratios, always ensure the total parts add up correctly to represent the whole set accurately.

Learn how to solve a ratio and proportion problem involving Mrs. Gomez's advisory class. Understand the concept of ratios, set up proportions, and solve for the number of girls in the class. Suitable for students in Grades 6-8.

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