Question

A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 1247 seats, leaving 57% vacant. How many total seats were in the theater?

Answer 1

Answer:

There were total 2900 seats in the theater.

Step-by-step explanation:

Given that:

Seats filled by students = 1247 seats

Vacant seats = 57%

Total percentage of seats = 100%

Percentage of seats filled by students = (100-57)%

Percentage of seats filled by students = 43%

Let,

x be the total number of seats.

43% of x = 1247

$\frac{43}{100}x=1247\\0.43x=1247$

Dividing both sides by 0.43

$\frac{0.43x}{0.43}=\frac{1247}{0.43}\\x=2900$

Hence,

There were total 2900 seats in the theater.