There are 100 seats in an auditorium, 80 of which were occupied during the first half of a concert. During the intermission, 20 percent of the people who had been occupying seats left and did not return. How many empty seats were there during the second half of the concert if no one was admitted to the auditorium after the conert began?
Question
There are 100 seats in an auditorium, 80 of which were occupied during the first half of a concert. During the intermission, 20 percent of the people who had been occupying seats left and did not return. How many empty seats were there during the second half of the concert if no one was admitted to the auditorium after the conert began?
Solution
Step 1: Determine the number of people who left during the intermission. This is 20 percent of the 80 people who were occupying seats. To find this, multiply 80 by 20 percent (or 0.20). This gives you 16 people.
Step 2: Subtract the number of people who left from the total number of people who were occupying seats. This gives you the number of people who remained for the second half of the concert. So, 80 (people who were there in the first half) - 16 (people who left) = 64 people.
Step 3: Subtract the number of people who remained for the second half of the concert from the total number of seats in the auditorium. This gives you the number of empty seats during the second half of the concert. So, 100 (total seats) - 64 (people who remained) = 36 empty seats.
So, there were 36 empty seats during the second half of the concert.
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