A theatre has 11 rows of seats which have 1 to 10 series. Unmatched numbers have 15 seats and 16 seats have matched numbers . How many sets are there in theatre?

To find the total number of seats in the theater, we need to calculate the number of seats in each row and then multiply it by the number of rows.

In this case, there are 11 rows of seats, and the number of seats in each row varies depending on whether the seat number is matched or unmatched.

For unmatched numbers (1 to 10), there are 15 seats in each row.
For matched numbers (11 to 16), there are 16 seats in each row.

So, the total number of seats in the theater can be calculated as follows:

Number of seats for unmatched numbers = 10 unmatched numbers x 15 seats = 150 seats
Number of seats for matched numbers = 6 matched numbers x 16 seats = 96 seats

Total number of seats in the theater = Number of seats for unmatched numbers + Number of seats for matched numbers
= 150 seats + 96 seats
= 246 seats

Therefore, the theater has a total of 246 seats.