Answer:
Let's break down the elevator movements:
Ms. Smith arrives at the building and takes the elevator from the lobby (0 floor) to her office.
She takes the elevator 7 floors up for a meeting.
From there, she takes the elevator 9 floors down to the cafeteria.
After finishing her snack, she takes the elevator 8 floors down to the lobby and leaves the building.
Starting from the lobby at 0 floor:
Up 7 floors for the meeting.
Down 9 floors to the cafeteria.
Down 8 floors to the lobby.
The net movement is 7 - 9 - 8 = -10 floors.
This means Ms. Smith's office is 10 floors above the lobby. Since the lobby is on the 0 floor, her office must be on the 10th floor.