SOLUTION: A theater can seat 713 people. The number of rows is 8 less than the number of seats in each row. How many rows of seats are there?

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Question 1009466: A theater can seat 713 people. The number of rows is 8 less than the number of seats in each row. How many rows of seats are there?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the numbers of rows and seats, r and s, so that
rs = 713 and
r = s - 8
Now substitute this into the first equation and get
(s - 8)s = 713
s^2 - 8s - 713 = 0
(s - 31)(s + 23) = 0
s = 31 seats per row
r = 31-8 = 23 rows