The seats in a theater are arranged in parallel rows that form a rectangular region. The number in each row is 16 fewer than the number of rows. How many seats are in each row of 1161 -seat theater?
2 answers
PLEASE ANSWER OPTIMUS PRIME'S QUESTION OR I'LL DIE!
let the number of rows be x
let the number of seats in each row be x-16
x(x-16) = 1161
x^2 - 16x - 1161 = 0
(x-43)(x+27) = 0
x = 43 or x = -27 but x > 0
x = 43
there are 43 rows with 27 seats in each
let the number of seats in each row be x-16
x(x-16) = 1161
x^2 - 16x - 1161 = 0
(x-43)(x+27) = 0
x = 43 or x = -27 but x > 0
x = 43
there are 43 rows with 27 seats in each
2 answers