Maths-
SAT
Easy

Question


A project coordinator at a banquet hall is given the task of arranging seating for an awards ceremony. The figure above shows the first three possible arrangements of tables and the maximum number of seats in each arrangement. If the number of seats in each successive arrangement is increased by 6 over the preceding arrangement, which of the following represents the maximum number of seats around n tables?

  1. 6n
  2. 2(3n + 1)
  3. 6(n + 1)
  4. 6(n + 3)

The correct answer is: 6(n + 1)


    If one table is there, then 6 + 2 = 8 people can sit
    If two tables are there, then 6cross times2 + 2 = 14 people can sit.
    If three tables are there, then 6cross times3 + 2 = 20 people can sit.
    If n tables are there, then 6n + 2 people can sit.
    6n + 2 = 2 (3n + 1)

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