Question

An auditorium is designed in such a manner that an additional seat is added to each row. If the theater has 46 rows and the last row contains 56 seats, then how many people could be seated in the auditorium?

Answer 1

The auditorium can seat a maximum of 2530 people.

Step-by-step explanation:

To find the number of people that could be seated in the auditorium, we need to determine the number of seats in the last row and then multiply it by the number of rows. Since an additional seat is added to each row, we can calculate the total number of seats in the last row by subtracting 1 from the number of seats in the last row. In this case, the last row has 56 seats, so the total number of seats in the last row is 56 - 1 = 55 seats.

Now, we can calculate the total number of seats in the auditorium by multiplying the number of rows (46) by the number of seats in the last row (55). So, the total number of seats in the auditorium is 46 x 55 = 2530 seats.

Therefore, the auditorium can seat a maximum of 2530 people.

Answer 2

Step-by-step explanation:

Given that they give us how many seats are in the last row we know that each row contains 56 seats and we have 46 rows. If you multiply 56 by 46 you get 2,576. If a seat is added to each row there are 46 seats you must add to 2,576. This will make your answer 2,622