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In a class, there are z students. Out of...

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

A

`(x)/(z)`

B

`(z)/(x)`

C

`1-(x)/(z)`

D

`(x)/(z)-1`

Text Solution

AI Generated Solution

The correct Answer is:
To find the part of the class that is composed of girls, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Total Number of Students**: - Let the total number of students in the class be represented by \( z \). 2. **Identify the Number of Boys**: - Out of the total students, let \( x \) be the number of boys. 3. **Calculate the Number of Girls**: - The number of girls in the class can be calculated by subtracting the number of boys from the total number of students: \[ \text{Number of girls} = z - x \] 4. **Determine the Part of the Class that is Girls**: - To find what part of the class is composed of girls, we divide the number of girls by the total number of students: \[ \text{Part of the class that is girls} = \frac{z - x}{z} \] 5. **Simplify the Expression**: - The expression can be simplified to: \[ \frac{z - x}{z} = 1 - \frac{x}{z} \] ### Final Answer: Thus, the part of the class that is composed of girls is: \[ 1 - \frac{x}{z} \]
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KIRAN PUBLICATION-NUMBER SYSTEM-TYPE-VI
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