A middle school took all of its 6th grade students on a field trip to see a play. The students filled 341 seats, which was 55% of the total number of seats in the theater. How many total seats were in the theater?
To find the total number of seats in the theater, we can set up a proportion using the information given in the problem.
Let x be the total number of seats in the theater.
We know that 341 seats is 55% of the total number of seats, so we can set up the proportion:
341/x = 55/100
Cross multiplying, we get:
341 * 100 = 55x
34100 = 55x
Dividing both sides by 55, we get:
x = 620
Therefore, the total number of seats in the theater is 620 seats.