SOLUTION: A rectangular auditorium seats 1394 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row

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Question 1199039: A rectangular auditorium seats 1394 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

let the number of rows be
the number of seats in each row will be
total number of seats is





or
(reject, answer cannot be negative)

Therefore,


the number of seats in each row is


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
A rectangular auditorium seats 1394 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row
Let number of seats in each row be S
Then number or rows = S - 7
We then get the following NUMBER-OF-SEATS equation: S(S - 7) = 1,394                                                         
                                              
                                            (S - 41)(S + 34) = 0

        Number of seats in each row, or S = 41          OR           S = - 34 (ignore)
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