Select the correct answerIn a class there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?Options𝒛/𝒙𝒙/𝒛1 – 𝒙/𝒛𝒙/𝒛− 1

Break Down the Problem

1. We have a total number of students, represented as $z$.
2. Out of those $z$ students, $x$ are boys.
3. We need to determine the part of the class that is composed of girls.

Relevant Concepts

1. The number of girls in the class can be calculated as: $\text{Number of girls} = z - x$
2. To find the fraction of the class that is composed of girls, we can represent it as: $\text{Fraction of girls} = \frac{\text{Number of girls}}{\text{Total number of students}} = \frac{z - x}{z}$

Analysis and Detail

1. From the expression for the fraction of girls, we can simplify: $\frac{z - x}{z} = 1 - \frac{x}{z}$
2. This indicates that the part of the class composed of girls is the complement of the part that is composed of boys.

Verify and Summarize

After simplification, we find that the part of the class composed of girls is represented by: $1 - \frac{x}{z}$ This confirms that our calculations are consistent with the principles of fractions and complements.

Final Answer

The correct answer is $1 - \frac{x}{z}$.