460 people attended the preview of a new film. The theater was 2/3 full. What’s the capacity of the theater?

Question

Please help solve and step by step would be appreciateD. 

Answer 1

Let x = the capacity of the theater

 

Translate:

"460 people attended"  =  (2/3) full

 

The math:

      460 = (2/3)x

      690 = x            [multiply both sides by (3/2)

 

The capacity of the theater is 690 people.