Question

After renovation at the movie theater the number seats in the row is three more than the total number of rows. How many rows are in the theater, if its seating capacity is 54 people?

Answer 1

Answer:

• There are 6 rows in the theater.

Explanation:

1. Name  $r$   the total number of rows

2. The number of seats in the row is trhee more than the total number of rows; then the numer of seats in the row is      $r+3$

3. The seating capacity is the total number of seats; this is    $r\times (r+3)$

4. The seating capacity is 54 people, then: $r\times (r+3)=54$

5. Solve the equation:

By inspection, you can tell that the two numbers are 6 and 9:

• r = 6
• r + 3 = 6 + 3 = 9
• 6 × 9 = 54

Hence, there are 6 rows, and each row has 9 seats.