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A tourist is in a department store that has 5 floors above ground and 4 floors below ground (numbered -1 to -4). The tourist starts on the top floor (Floor 5) and wants to go to the bottom floor (Floo

Mathematics

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Answer

4 stops\mathbf{4 \text{ stops}}

Step-by-step solution

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QUESTION 4

  1. Identify the starting and ending floors.

    The top level is Floor 5.
    The bottom level is Floor -4 (4 floors below ground level).
    The tourist starts at Floor 5 and travels to Floor -4.

  2. Determine the floors where the tourist will stop.

    The tourist stops every 2 floors while moving downwards from Floor 5.

    • From Floor 5, the first stop is at Floor 5−2=35 - 2 = 3.
    • From Floor 3, the second stop is at Floor 3−2=13 - 2 = 1.
    • From Floor 1, the third stop is at Floor 1−2=−11 - 2 = -1.
    • From Floor -1, the fourth stop is at Floor −1−2=−3-1 - 2 = -3. The next stop would be at Floor −3−2=−5-3 - 2 = -5. However, the lowest floor in the store is Floor -4. Therefore, the lift will travel directly from Floor -3 to Floor -4 without an additional intermediate stop. The destination (Floor -4) is the end of the journey, not an intermediate stop for "looking around briefly".
  3. Count the number of stops.

    The stops made are at Floor 3, Floor 1, Floor -1, and Floor -3.
    This is a total of 4 stops.

    The tourist will make 4 stops\mathbf{4 \text{ stops}}.

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