Question

A new theater is being built for the city ballet. The balcony has 100 seats. The floor has 20 rows with x seats in each row. The number of people in the theater must be under 400 to meet fire safety regulations.

The new theater must have more than 15 seats in each row on the floor to meet fire safety regulations.

The new theater must have fewer than 15 seats in each row on the floor to meet fire safety regulations.

The new theater must have more than 20 seats in each row on the floor to meet fire safety regulations.

The new theater must have fewer than 20 seats in each row on the floor to meet fire safety regulations.

Answer 1

The new teacher must have fewer than 15 seats in each row on the floor to meet fire safety regulations

Answer 2

The new theater must have fewer than 15 seats in each row on the floor to meet fire safety regulations.

Explanation:

The equation/formula

is 100+20x ≤ 400

1. Subtract 100 from both sides

-100+20x≤ 400-100

--> 20x≤300

2. Divide 20 by x and 300

20/20x≤ 300/20

--> x≤15

So...

The new theater must have fewer than 15 seats in each row on the floor to meet fire safety regulations.

Hoped this helps :D