Problema Solution

A rectangular auditorium seats 1920 people. The number of seats in each row exceeds the number of rows by 8. Find the number of seats in each row

Answer provided by our tutors

Let

x = the number of seats in each row, x>0

y = the number of rows, y>0

The total number of seats is

x*y = 1920

The number of seats in each row exceeds the number of rows by 8 means:

x = y + 8

by solving the system of equations

x*y = 1920

x = y + 8

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We find and consider only the positive solutions that is

x = 48 seats per row

y = 40 rows

in each row there are 48 seats.