Question

Due to fire laws no more than 720 people may attend a performance at metro auditorium. the balcony holds 120 people. there are 32 rows on the ground floor, each with the same number of seats. write an inequality to find the numbers of people that can sit in a ground floor row if the balcony is full. indentify what your variable represents WRITE ME A INEQUALITY AND WHAT THE VARIABLE REPRESENTS

Answer 1

32*x < 720-120 
32*x < 600
x < 18.75

because of x represents the number of seats in each row, it has to be a natural number -- whole. so x=18 is the max number of seats in each row and x < 18.75 is the desired inequality. 

Answer 2

Answer: $x\leq 18.75$ is the inequality and x is the number of seats in each row in the ground floor.

Step-by-step explanation:

Since, The total number of people may attend = People in the balcony + People in the ground floor.

And, According to the question, Number of the people in the balcony = 120

Now, Let x represents the number of the seats in the ground floor,

While y represents total number of people.

And, again according to the question,

There are 32 rows on the ground floor,

Therefore, the number of the people in the ground floor = 32 x

y = 120 + 32 x

But, the total number of the people must be not more than 720.

Therefore, $y \leq 720$

⇒ $120 + 32 x\leq 720$

⇒  $32 x\leq 720-120$

⇒ $x\leq 18.75$

Where x is the number of seats in the ground floor.