Problema Solution
In a social hall of a building, there are 150 seats arranged in rows with 5 more seats per row than the number of rows. How many seats are there in each row?
Answer provided by our tutors
let
r = the number of rows
s = the number of seats per row
there are 5 more seats per row than the number of rows
s = r + 5
there are 150 seats arranged in rows
r*s = 150
plug s = r + 5 into the last equation
(r + 5)*r = 150
by solving we find and consider the positive roots (the number of rows cannot be a negative number)
r = 10 rows
click here to see the step by step solution of the equation
s = r + 5
s = 10 + 5
s = 15 seats per row
in each row there are 15 seats.