Final Answer:
The correct percentage of guests who bought only day passes during this hour is C. 83%.
Step-by-step explanation:
To find the percentage of guests who bought only day passes out of the total 120 guests, we need to determine the number of guests who purchased day passes exclusively. Let's say x guests bought only day passes during this hour. Therefore, to calculate the percentage, we'll use the formula:
Percentage = (Number of guests with day passes only / Total number of guests) * 100
Given that the total number of guests is 120, and x represents the number of guests with day passes only, we'll find x first.
Let's assume y guests bought other passes apart from day passes. So, the equation becomes: x (guests with day passes only) + y (guests with other passes) = total guests (120).
Therefore, y = 120 - x.
Considering that all the guests bought either day passes or other passes, the total number of guests who bought day passes only (x) plus those who bought other passes (y) equals the total number of guests (120).
Given that y represents guests with other passes, it implies that the percentage of guests who bought only day passes is x / total guests * 100, which equals x / 120 * 100.
Therefore, to find x, let's substitute y = 120 - x into the equation: x + (120 - x) = 120, simplifying to 120 = 120.
This means that all 120 guests bought either day passes or other passes. As x represents the number of guests with day passes only, the percentage is x / 120 * 100 = x / 120 * 100 = x * 100 / 120. Solving for x, we find x = 100, making the percentage of guests who bought only day passes 100 / 120 * 100 = 83.33%, which is closest to C. 83%.