161 children were 100% - (25% + 40%) = 35% of the entire audience.

So, the entire audience was  =  = 23*20 = 460 persons.

From here, you can calculate yourself the number of men and women.

Hi  

In the movie theater 25% of the audience was men, 40% was women , the remaining 161 people were children , how many people were in the theater?

100% - 25%  - 40% = 35%

.35P = 161

P = 161/.35 = 460 people were in the theater 

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