A theater can seat 1015 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

R(R+6) = 1015

R^2 +6R = 1015

complete the square

R^2 +6R + 9 = 1015+9 = 1024

R+ 3 = sqr1024 = 32

R = 32-3 = 29 rows

seats per row = 35

35 x 29 = 1015 total seats