Question

A middle schooler took all the 6th grader on a field trip to see ballet. The students filled up 570 seats, which was 95% of the totall number of seats in the theater. How many seats were there in total?

Answer 1

The total number of seats in the theater is 600 seats, if the students filled up 570 seats, which was 95% of the total number of seats in the theater.

Explanation:

The given is,

Seats filled by students are 570 seats

Which is 95% of the total number of seats in the theater

Step: 1

Let, x - Total number of seats available in theater

Percentage of seats filled, y= 95%

Seats filled by students = 570

Formula to calculate total number of seats in theater,

95% of seats
`= (95)/(100)( x)`

570 =
`0.95 (x)`

x =
`(570)/(0.95)`

= 600

x = 600 seats

Step: 2

Check for solution,

5% of seats
`= (5)/(100) (600)`

= (0.05 × 600)

= 30 seats

Total no. of seats = 5% of seats + 95% of seats

= 30 + 570

600 = 600

Result:

The total number of seats in the theater is 600 seats.