Question 263654: Some people got on a bus. At the first stop, one-third of the people got off and two-fifths of the original numbers got on. At the second stop, one-fourth of the people got off and two-thirds of the number that were left on the bus got on. At the last stop, four-fifths of the people got off, leaving sixteen people on the bus. How many people were on the bus before the bus reached the first stop?
Found 2 solutions by drk, richwmiller:
Answer by drk(1908)   (Show Source):
You can put this solution on YOUR website! It end up being 60 people.
here is my way of solving
stop # . . . . . . . get on bus . . . . . . get off bus
0 . . . . . . . . . . . . 60 . . . . . . . . . . . .20
1 . . . . . . . . . . . . 64 . . . . . . . . . . . .16
2 . . . . . . . . . . . . 80 . . . . . . . . . . . .64
3 . . . . . . . . . . . . 16
as you reread the questions follow my numbers and the descriptions
Answer by richwmiller(17219)  (Show Source):
You can put this solution on YOUR website! Some people got on a bus.
At the first stop, one-third of the people got off
and two-fifths of the original numbers got on.
x-x/3+2x/5=y
At the second stop, one-fourth of the people got off
y-y/4=z
and two-thirds of the number that were left on the bus got on.
2z/3=a
At the last stop, four-fifths of the people got off,
leaving sixteen people on the bus.
a-4a/5=16
How many people were on the bus before the bus reached the first stop?
x-x/3+2x/5=y and y-y/4=z and z+2z/3=a and a-4a/5=16
a = 80, x = 60, y = 64, z = 48
check
60-20+24=64=y
64-16=48=z
48+32=80=a
80-64=16
ok
original 60 people on bus
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