simple logic
a man that lives on the 10th floor, is taking the elevator down to the first floor, 5 people are in this elevator that are also trying to exit to the first floor. Well on their way down they stop at the 7th, 4th, and 1st floor on the 7th floor 3 people get in, only 1 person is wanting to be on the first floor though, on 4th floor 2 people exit, and no one gets in, on the first floor 6 people get in, how many people are on the elevator?
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The man and 5 other people make up the first 6 in the elevator and they all want to exit on the first floor. (1 + 5 = 6)
On the first stop (7th floor), they pick up 3 people which brings the total up to 9 and now 7 want to exit on the first floor. (6 + 3 = 9)
On the second stop (4th floor), 2 people leave bringing the total down to 7, who all want to exit on the first floor. (9 - 2 = 7)
One the final stop (1st floor), the 7 people leave and then 6 more come in, leaving you with a final total of 6. (7 - 7 + 6 = 6)