Question

A theater owner wants to provide enough seating for 786 people. The main floor has 24 rows of 20 seats in each row. If the balcony has 17 ​rows, how many seats must be in each row to satisfy the​ owner's seating​ requirements?

Answer 1

Explanation:

The main floor has 24*20 = 480 seats.

So you need 786- 480 = 306 more seats

There are 17 rows in the balcony and let's say there are x seats in each row. Since you need 323 seats, this means

19x = 323

x = 306/17

x = 18

So there must be 18 seats in each row up in the balcony.

Answer 2

18

Explanation:

24 x 20 = 480 (amount of seats on main floor)

786 - 480 = 306 (amount of seats needed on balcony)

306 ÷ 17 = 18 (amount of seats on each row of balcony)