A theater can seat 775 people. The number of rows is 6 less than the number of seats in each row. How many rows of seats are there?

Question

A theater can seat 775 people. The number of rows is 6 less than the number of seats in each row. How many rows of seats are there?

Answer 1

Let there be x seats in each row, then there will be x-6 rows.

x(x-6) =775

x²-6x-775 =0

(x-31)(x+25)=0

since the number of seats should be positive,

x=31.

the number of rows is 31-6=25