Question

A movie theater has 4 groups of seats. The largest group of seats in the middle has 30 rows with 30 seats each row. There are two smaller groups of seats on the sides, each with 30 rows and 8 seats in each row. A group of seats in the back has 7 rows with 44 seats in each row. How many seats are in the movie theater?

Answer 1

The movie theater has a total of 1,688 seats, calculated by adding the seats from the middle (900), side (480), and back (308) groups.

Step-by-step explanation:

To calculate the total number of seats in the movie theater, we must sum up the seats in each group based on the information provided.

The largest group of seats in the middle has 30 rows with 30 seats each row. Therefore, this group has a total of 30 x 30 = 900 seats.

There are two smaller groups of seats on the sides, each with 30 rows and 8 seats in each row. Both groups combined have a total of 2 x 30 x 8 = 480 seats.

The group of seats in the back has 7 rows with 44 seats in each row, which totals 7 x 44 = 308 seats.

Adding up all the seats from each group, we get: 900 (middle group) + 480 (side groups) + 308 (back group) = 1,688 seats in total at the movie theater.