An Elevator starts at the lobby, Floor 1. Goes up 7 floors, up 3 more floors, down 8 floors, up 1 floor, down 6 floors, then up 6 floors. Which floor did it end up on?
Not 4.
Starting at floor 1:
7 + 3 - 8 + 1 - 6 + 6 = ?
To determine the floor where the elevator ended up, we need to keep track of its movements. Let's break down the given sequence of movements:
1. The elevator starts at the lobby on Floor 1.
2. It goes up 7 floors, which brings it to Floor 1 + 7 = Floor 8.
3. It then goes up 3 more floors, bringing it to Floor 8 + 3 = Floor 11.
4. Next, it goes down 8 floors, which means it subtracts 8 from its current position. Floor 11 - 8 = Floor 3.
5. After that, it goes up 1 floor, so it adds 1 to its current position. Floor 3 + 1 = Floor 4.
6. The elevator then goes down 6 floors, which brings it to Floor 4 - 6 = Floor -2. Note that floors can be below the lobby if the building has basement levels.
7. Finally, it goes up 6 floors, so it adds 6 to its current position. Floor -2 + 6 = Floor 4.
Therefore, the elevator ends up on Floor 4.