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.

Step-by-step 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  $= \frac{95}{100}( x)$    

                                         570 = $0.95 (x)$

                                              x = $\frac{570}{0.95}$

                                                 = 600

                                              x = 600 seats

Step: 2

            Check for solution,

                            5% of seats  $= \frac{5}{100} (600)$

                                                  = (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.