A baseball stadium has 45,000 seats. If tickets have been bought for [tex]\(\frac{5}{8}\)[/tex] of the seats for the next game, how many seats are still available to buy?

A. 5,625 seats
B. 28,125 seats
C. 39,375 seats
D. 16,875 seats



Answer :

To determine how many seats are still available to buy in the baseball stadium, we need to first find out how many seats have been sold. Given that the stadium has 45,000 seats and tickets have been bought for [tex]\(\frac{5}{8}\)[/tex] of the seats, we can proceed as follows:

1. Calculate the number of seats that have been sold.

[tex]\[ \text{Seats sold} = 45000 \times \frac{5}{8} \][/tex]

By performing the multiplication, we get:

[tex]\[ \text{Seats sold} = 45000 \times 0.625 = 28125 \][/tex]

So, 28,125 seats have been sold.

2. Next, determine the number of seats still available by subtracting the number of seats sold from the total number of seats.

[tex]\[ \text{Seats available} = 45000 - 28125 \][/tex]

By performing the subtraction, we get:

[tex]\[ \text{Seats available} = 16875 \][/tex]

Therefore, the number of seats still available to buy is 16,875.

Thus, the correct answer is:
D. 16,875 seats