Problema Solution
A rectangular auditorium seats 1617 people. The number of seats in each row exceeds the number of rows by 16. 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 = 1617
the number of seats in each row exceeds the number of rows by 16
x = y + 16
by solving the system of equations
x*y = 1617
x = y + 16
we find and consider only the positive solutions that is
x = 49 seats per row
y = 33 rows
in each row there are 49 seats.