On the opening night of a new movie local theaters sold 540 tickets and filled 80% of the seats in the in the theater,how many seats are in the movie theater

There are 675 seats in the movie theater.

To find this answer, we can first calculate the number of seats filled on the opening night by multiplying the total number of tickets sold (540) by the percentage of seats filled (80% or 0.8):

540 tickets * 0.8 = 432 seats filled

Since 432 seats were filled on the opening night and that represents 80% of the total number of seats in the theater, we can use simple algebra to solve for the total number of seats in the theater:

432 = 0.8x
x = 432 / 0.8
x = 540

Therefore, there are 675 seats in the movie theater.