Answer:
[tex]\frac{n+300}{2n}[/tex] is the correct answer.
Step-by-step explanation:
Given that total number of people = n
Let the number of people who responded to the survey = x
Let the number of people who did not respond to the survey = y
[tex]x+y=n ...... (1)[/tex]
As per question statement:
The number of people who did not respond to the survey was 300 less than the number of people who did respond.
i.e. [tex]x-y =300[/tex] ...... (2).
We need to solve the equations (1) and (2).
Adding (1) and (2):
[tex]2x=n+300\\\Rightarrow x = \dfrac{n+300}{2}[/tex]
The fraction of people who received the survey did respond:
[tex]\dfrac{\text{Number of people who responded}}{\text{Total number of people who received the survey}}\\[/tex]
So, the answer is:
[tex]\dfrac{x}{n}[/tex]
Putting the values of x, we get the answer as:
[tex]\dfrac{n+300}{2n}[/tex]
