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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?

Respuesta :

Lanuel

Answer:

x = 2600 seats.

Step-by-step 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;

[tex] \frac {73}{100} * x = 1898 [/tex]

Cross-multiplying, we have;

[tex] 73x = 1898 * 100 [/tex]

[tex] 73x = 189800 [/tex]

[tex] x = \frac {189800}{73} [/tex]

x = 2600 seats.

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

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