SOLUTION: Some people got on a bus. At the first stop 2/5 of the people got off and 3/5 of the original number got on. At the second stop half the people got off and 1/3 of the number that w

Algebra ->  Signed-numbers -> SOLUTION: Some people got on a bus. At the first stop 2/5 of the people got off and 3/5 of the original number got on. At the second stop half the people got off and 1/3 of the number that w      Log On


   

Question 268723: Some people got on a bus. At the first stop 2/5 of the people got off and 3/5 of the original number got on. At the second stop half the people got off and 1/3 of the number that were left on the bus got on. At the last stop 3/4 of the people got off leaving 5 people on the bus. How many people were on the bus before the bus reached the first stop?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x = original number of people

first stop: x - 2x/5 + 3x/5 = 6x/5
second stop: 6x/5 - 3x/5 + 2x/5 = x
last stop: x - 3x/4 = 5

x/4 = 5

20 people were originally on the bus.