https://file.aiquickdraw.com/mathbot/file/1728261521464lczi9uno.jpg

The problem asks:

"The ratio of the number of boys in a school play to the total number of students in the play is \( \frac{7}{10} \). What is the ratio of the number of girls in the play to the number of boys in the play?"

### Step-by-step solution:

1. **Understanding the given ratio**:
   - The ratio of boys to the total number of students is \( \frac{7}{10} \).
   - This means that for every 10 students, 7 are boys.

2. **Finding the ratio of girls to boys**:
   - Since the total number of students is 10, the number of girls can be found by subtracting the number of boys from the total:
     \[
     \text{Number of girls} = 10 - 7 = 3.
     \]
   - Therefore, the number of girls is 3 and the number of boys is 7.

3. **Ratio of girls to boys**:
   - The ratio of girls to boys is:
     \[
     \frac{\text{Number of girls}}{\text{Number of boys}} = \frac{3}{7}.
     \]

Thus, the ratio of the number of girls to the number of boys is \( \frac{3}{7} \).

---

Do you want further details on any part of the solution? Here are 5 related questions to expand your understanding:

1. How can we interpret ratios in real-life situations like this?
2. If the ratio of girls to total students was given, how would the approach change?
3. How do you convert a ratio into a percentage?
4. Can you solve a similar problem if the ratio of girls to total students was 4:10?
5. What would the ratio be if the total number of students increased?

**Tip:** Always subtract the given quantity from the total when solving ratio problems involving part-to-whole relationships.

The ratio of the number of boys in a school play to the total number of students in the play is 7/10. What is the ratio of the number of girls in the play to the number of boys in the play?

Learn how to calculate the ratio of girls to boys in a school play, where the ratio of boys to total students is given as 7:10. A step-by-step solution helps understand the concept of ratios and proportions. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation