There are 2,100 total seats in the theater.
Let's use the information provided to create an equation and solve for the total number of seats in the theater. We know that the 6th grade students filled 1,491 seats, which was 71% of the total number of seats. Let x be the total number of seats in the theater.
The equation can be written as:
0.71 * x = 1,491
To find the total number of seats (x), we will divide both sides of the equation by 0.71:
x = 1,491 / 0.71
x ≈ 2,100