SOLUTION: a stadium has maximum capacity of 1800 seats. seating arrangement is to be done such that there must be a vacant seat after 2 consecutive occupied seats. find the maximum number

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Question 935618: a stadium has maximum capacity of 1800 seats.
seating arrangement is to be done such that there must be a vacant seat after 2 consecutive occupied seats.
find the maximum number of occupied seats.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
for every 2 seats that are occupied, there must be 1 vacant seat.
this means that, for every 3 seats, 2 of them can be filled, and one of them must remain vacant.

1800 / 3 = 600 sets of 3 seats.

each of these sets can contain a maximum of 2 seats that are filled.

600 * 2 = 1200

there is a maximum of 1200 seats that can be filled in the stadium, based on that ratio.