1. A stadium has 48,750 seats. During a concert 3/5 of the seats were filled in the first hour, and another 6,200 people entered in the second hour. How many seats remained empty after the second hour?
Answer: 13,300 seats remained empty after the second hour.
Step-by-step solution
Step 1: Calculate seats filled in the first hour
First, we need to determine how many seats were filled during the first hour. The problem states that 3/5 of the total seats were filled. To find this number, we multiply the total number of seats by the fraction 3/5.
Step 2: Calculate total seats filled
In the first hour, 29,250 seats were filled. In the second hour, an additional 6,200 people entered. To find the total number of seats filled after the second hour, we add these two amounts.
Step 3: Calculate remaining empty seats
We know the total capacity of the stadium is 48,750 seats, and we've calculated that 35,450 seats are now filled. To find the number of empty seats, we subtract the filled seats from the total capacity.
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