Official Solution: Bunuel
The average number of women attendees on days when the concert dance was not performed was:
Let us look at the info provided.
(I) Auditorium:
Max capacity - 1000,
Number of events - three(music, dance and art), with concert dance every Sunday.
First day of month was Sunday, so 5 Sundays in the week.
Music was on at least five days.
(II) Seating:
Every day of 30 days, all 1000 seats filled
Men higher on 15 days and women higher on remaining 15 days.
Entire month - Average of women = 600, Average of men = 400
Sundays - Average of women = 700, Average of men = 300
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Question 1:
Total women who attended throughout the month = 30* average per day = 30*600 = 18,000
Total women who attended on Sundays = 05* average per Sunday = 5*700 = 3,500.....05 comes from point 3 in (I)
So total women in remaining 25 days = 18000 - 3500 = 14,500, and average per day for these 25 days \(= \frac{14500}{25}= 580\)
Correct answer: The average number of women attendees on days when the concert dance was not performed was:
"580"