Question

In a movie theatre, the number of seats in a row is 8 greater than the total number of rows. How many rows are in the movie theatre, if the total number of seats in the theatre is 884?

Answer 1

(R + 8) represents the number of seats.

Total seats = R (R + 8)

R(R + 8) = 884

R^2 + 8R - 884 = 0

(R - 26) (R + 34) = 0

R = 26

so that means there are 26 rows in the movie theater.

Answer 2

no of seats rows will be equal to 26

Explanation:

Let as assume number of rows be 'R'

number of seats in the rows be 'R+8'

number of seats can be taken as the number of columns in theater

total no of seats will be

= number of column × number of rows

884 = (R+8) × R

R² + 8 R - 884 = 0

R² + 34 R - 26 R- 884 = 0

(R +34) - 26 (R +34) = 0

(R +34)(R-26) = 0

R = 26,-34

hence, no of seats rows will be equal to 26 and column will be equal to 34.