lheiannie07 wrote:Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 7, how many people got on at the first stop?
A. 128
B. 64
C. 32
D. 16
E. 8
The prompt should indicate that the bus contains no passengers when it leaves the station.
We can PLUG IN THE ANSWERS, which represent the number of passengers picked up at the first stop.
At each subsequent stop, the number of passengers decreases by 1/2.
When the correct answer is plugged in, one person will disembark at the 7th stop.
B: 64
2nd stop --> 32 passengers
3rd stop --> 16 passengers
4th stop --> 8 passengers
5th stop --> 4 passengers
6th stop --> 2 passengers
7th stop --> 1 passenger
Success!
At the 7th stop, the number of passengers decreases from 2 to 1, implying that 1 passenger disembarks at the 7th stop.
The correct answer is
B.
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