SOLUTION: A cinema can seat 256 patrons. How many patrons less than 10,000 attended 38 performances if all the seats were occupied for each performance?

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Question 1209429: A cinema can seat 256 patrons. How many patrons less than 10,000 attended 38 performances if all the seats were occupied for each performance?

Found 3 solutions by greenestamps, AnlytcPhil, ikleyn:
Answer by greenestamps(13214) About Me  (Show Source):
You can put this solution on YOUR website!


256 seats were occupied for each of 38 performances. The total number of patrons for those performances was

256*38 = 9728

How many less than 10,000 was that?

10000-9728 = 272

ANSWER: 272


Answer by AnlytcPhil(1810) About Me  (Show Source):
You can put this solution on YOUR website!
Since the tutors on here often speak about the clarity of the problems posted
here, I thought I'd mention this one.

What is meant by the word "patron"?  I think a patron is ONE individual person,
not to be considered as, say, TEN DIFFERENT patrons if he or she attends TEN
different performances.

I claim the problem is not clear, and the answer could range between 
10000-256=9744 patrons and 10000-9728=272 patrons.

It's theoretically possible that there were only 256 patrons and all 256 of
those same patrons attended all 38 performances.

On the other end, it's theoretically possible there were 38*256=9728 different
patrons and each attended exactly 1 performance each.

If the answer is really 9728, then the problem should be worded so that it would
be clear that if the same person attends two or more performances, then she or
he would be counted as many times as she or he attended one of the 38
performances.

Another way to clearly word it would be to speak of the number of tickets sold
instead of the number of patrons.

Edwin

Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
.

Edwin,

it's very simple.

It's just that the person who composed this problem, recently saw this new word for him, - patrons,
and decided, without wasting time, to create a new problem with this new word, without fully understanding its meaning.
Of course, the right place for such "problems" is the nearest trash can, so as not to confuse
the young, immature minds of students - potential readers of this forum.


Patrons, patrons - there are only patrons all around . . . and nobody else . . .


It's just that this person is doing something which isn't his competence.