SOLUTION: A rectangular auditorium seats 3332 people. The number of seats in each row exceeds the number of rows by 19. Find the number of seats in each row.

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Question 1005020: A rectangular auditorium seats 3332 people. The number of seats in each row exceeds the number of rows by 19. Find the number of seats in each row.
Answer by fractalier(6550) About Me  (Show Source):
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Call the number of rows, r.
Call the number of seats in each row, s.
Then we have (given a rectangular auditorium)
rs = 3332 and
s = r + 19
Let us substitute the second into the first and get
r(r + 19) = 3332
r^2 + 19r - 3332 = 0
(r + 68)(r - 49) = 0
r = 49 rows of 68 seats each.