If two guests share a chair one chair remains vacant and if each guest sits on a chair one guest remains standing. What is the number of guests
Krishgh:
Ask the guests
3 guests
How
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1
I think 3 is the answer
4 guests
2 guests, it's written in the question
u r correct
Then b my follower
why
Let the number of guests be x.
Since it is given that if each guest sits on a chair, one guest remains standing, we can say that there is one less chair.
i.e. number of chairs = x-1
It is also given that when 2 guests share a chair, 1 chair is vacant.
Thus number of chairs =(x/2)+1(2guests share a chairso number of chairs =x/2but with one remaining chair =+1)
Now we see that number of chairs = x - 1 = (x/2) + 1
x-1 + 1 = (x/2)+1 + 1 i.e. x = (x/2) + 2
Since it is given that if each guest sits on a chair, one guest remains standing, we can say that there is one less chair.
i.e. number of chairs = x-1
It is also given that when 2 guests share a chair, 1 chair is vacant.
Thus number of chairs =(x/2)+1(2guests share a chairso number of chairs =x/2but with one remaining chair =+1)
Now we see that number of chairs = x - 1 = (x/2) + 1
x-1 + 1 = (x/2)+1 + 1 i.e. x = (x/2) + 2
Thus 2 = x - (x/2) = (x/1) - (x/2) = (2x-x) / 2 = x/2
Therefore x = 2*2 =4 is the number of guestswith x-1 = 4-1 = 3 as the number of chairs.
Recheck: When 2 guests share a chair, only two chairs are needed for the 4 guests and 1 chair is vacant.
But when each guest sits on separate chairs, only 3 guests get chairs while the 4th guest remains standing.
Therefore x = 2*2 =4 is the number of guestswith x-1 = 4-1 = 3 as the number of chairs.
Recheck: When 2 guests share a chair, only two chairs are needed for the 4 guests and 1 chair is vacant.
But when each guest sits on separate chairs, only 3 guests get chairs while the 4th guest remains standing.
Answered by
3
2 guests.... It's written in the question..
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