A bus was travelling from one location to another, with a number of stops along the way: # At the first bus stop, one seventh of the Passengers got off. At the second bus stop one sixth of the remaining passengers got off....this continued similarly, until... # At the sixth bus stop, half of the remaining passengers got off, and only four passengers were left in the bus. How many passengers originally boarded the bus?
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Step-by-step explanation:
Suppose there are n passengers aboard at the start.
Remaining passengers after 1st stop = n - n/7 = 6n/7
Remaining passengers after 2nd stop = 6n/7 - n/7 = 5n/7
Remaining passengers after 3rd stop = 5n/7 - n/7 = 4n/7
Remaining passengers after 4th stop = 4n/7 - n/7 = 3n/7
Remaining passengers after 5th stop = 3n/7 - n/7 = 2n/7
After 6th stop only n/7 passengers remain
now n/7 => 4
n = 28
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