Question

A movie complex with 3 theaters has a total capacity of 800 seats. There are 270 seats in Theater 1. There are 150 more seats in Theater 2 than in Theater 3. How many seats are in Theater 2?

Answer 1

340

Explanation:

No. of seats in theater 1 = 270

Let the no. of seats in theater 3 be x

given that

There are 150 more seats in Theater 2 than in Theater 3.

no. of rooms in theater 2 = no. of rooms in theater 3 + 150

x + 150

Total numbers of seats in all the theater = 270+ x + x+150 = 2x + 420

It is also given that total capacity is 800 seat

thus

Total numbers of seats in all the theater = 800

2x+420 = 800

=> 2x = 800 - 420 = 380

=> x = 380/2 = 190

Thus, no of rooms in theater 3 is 190.

No. of rooms in theater 2 is x + 150 = 190 + 150 = 340 ---> Answer