Question

A small theater can seat 600 people. The number of rows in 10 less than the number of seats in each row. How many seats are in each row?

HELP ME PLEASEEE :(

Answer 1

30 seats

Explanation:

To answer this question, we will be assigning values for both rows and seats.

R = Rows

S = Seats

Remember that rs = 600

r = s - 10, plug this equation into rs = 600, and factor it:

s(s-10) = 600

s^2-10s-600 = 0

(x-30)(x+20) = 0

There are 30 seats in the row. To determine which one is your answer, your answer MUST be positive because it is impossible to have negative seats. (x-30) is 30, which is the positive value found when factoring.