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

There were total 2900 seats in the theater.

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

`(43)/(100)x=1247\\0.43x=1247`

Dividing both sides by 0.43

`(0.43x)/(0.43)=(1247)/(0.43)\\x=2900`

Hence,

There were total 2900 seats in the theater.