Question

A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 1898 seats, which was 73% of the total number of seats in the theater. How many total seats were in the theater?

Answer 1

x = 2600 seats.

Explanation:

Let the total number of seats be x.

Given the following data;

Number of seats occupied = 1898 seats

Percentage = 73%

To find the total number of seats;

Translating the word problem into an algebraic equation, we have;

`\frac {73}{100} * x = 1898`

Cross-multiplying, we have;

`73x = 1898 * 100`

`73x = 189800`

`x = \frac {189800}{73}`

x = 2600 seats.

Therefore, the total number of seats in the theater are 2600 seats.