Question

A rectangular auditorium seats 1188 people. the number of seats in each row exceed the number of rows by 17 . find the number of seats in each row ​

Answer 1

Answer: 44 seats

Step-by-step explanation:

Let the number of seats be represented by s

Let the number of rows be s-17.

Since the number of seats multiplied by the number of rows equals 1188. This can be represented as:

s(s - 17) = 1188

s² - 17s = 1188

s² - 17s - 1188 = 0.

s² - 44s + 27s - 1188 = 0

s(s - 44) + 27(s - 44) = 0

Therefore, s - 44 = 0

s = 44 + 0

s = 44

The number of seats in each row is 44