SOLUTION: A bus left with some of passengers.At the first stop,half the passengers left the bus and 35 boarded the bus.At the second stop 1/5th of the passengers left and 40 boarded the bus.

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Question 947102: A bus left with some of passengers.At the first stop,half the passengers left the bus and 35 boarded the bus.At the second stop 1/5th of the passengers left and 40 boarded the bus. Then, the bus moved with 80 passengers towards its destination without stopping anywhere. How many passengers were there originally?
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = the original number
of passengers
----------------
At 1st stop:
got off leaving
of the passengers
boarded, so there are
on the bus
-------------------------
At the 2nd stop,
got off the bus
are left on the bus
boarded, so there are
on the bus
------------------------------------
there are now passengers on the bus, so

Multiply both sides by

Divide through by

There were 30 passengers originally
check:
1/2 got off, so
left on bus. 35 boarded, so
now on bus
1/5 got off, left on bus
40 boarded, so are now on bus
OK