In a class there are 'z' students. Out of them 'x' are boys. What part of the class is composed of girls?

To determine the part of the class composed of girls, we need to find the number of girls in the class and then express that number as a fraction of the total number of students.

Given:
- Total number of students = \( z \)
- Number of boys = \( x \)

The number of girls in the class will be:
\[
\text{Number of girls} = z - x
\]

To find the fraction of the class that is composed of girls, divide the number of girls by the total number of students:

\[
\text{Fraction of the class composed of girls} = \frac{z - x}{z}
\]

So, the part of the class composed of girls is:
\[
\frac{z - x}{z}
\]

Would you like further details or have any questions about this?  

Here are 5 related questions you might find interesting:
1. If \( x = 10 \) and \( z = 25 \), what fraction of the class is composed of girls?
2. How would the fraction change if the number of boys increased by 5?
3. What is the percentage of girls in the class if \( x = 15 \) and \( z = 30 \)?
4. If the fraction of girls in the class is \( \frac{1}{3} \), what is the relationship between \( x \) and \( z \)?
5. How would you express the fraction of boys in the class?

**Tip:** When working with fractions, always remember that the numerator represents the part of the whole, while the denominator represents the total amount.

Discover how to calculate the fraction of girls in a class with 'z' total students and 'x' boys using basic arithmetic. This problem explores the concept of fractions and ratios in a classroom setting. Suitable for students in Grades 5-6.

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