When a performance was open to the public, 75% of the seats were filled. If the hall has 600 seats, how many of them were empty?

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150

200

300

250

answer is A.

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Detailed Solution

Concept: Use the following percentage conversion formula to turn the numbers in this issue into a percentage of the entire number:

As of the time of this writing, there are 600 seats total available, with 75% of those seats being occupied. We must ascertain the number of open seats.
The number of open seats that are vacant must be determined.
So, let

be the total number of occupied seats.
Given that there are 600 seats total and that 75% of the seats are filled, use the following formula to substitute the values for total number, percentage, and total number, and then find

.
Number of filled seats

Number of filled seats

Therefore, 450 out of the entire 600 seats are occupied.
We will now deduct the number of occupied seats from the total number of seats in order to compute the unoccupied seats from 600.
total vacant seats

So there are 150 seats available for a performance.
Hence, the correct answer is option 1) 150

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