<PRE><B>Question 896691</B>
let a = number of adults.
let c = number of children.


at station A you get:


a = c - .25c which results in a = .75c


at station B you get:


(a+25) = 2 * (c-25)


from the equation for station a, you can replace a with .75c in the equation for station B to get:


(.75c + 25) = 2 * (c - 25)


simplify this to get:


.75c + 25 = 2c - 50


subtract .75c from both sides of the equation and add 50 to both sides of the equation to get:


75 = 1.25c


divide both sides of the equation by 1.25 to get:


c = 60


at station A, then a must be equal to 45 because 45 = .75 * 60


at station B you get:


c - 25 = 60 - 25 = 35


a = 45 + 25 = 70


a = 70
c = 35


a = 2*c becomes 70 = 2*35 which becomes 70 = 70 which is true.


there were 100% more adults than children means that the number of adults is equal to the number of children plus another 100% of the children which is equal to 200% of the children which is equal to 2 times the number of children.


the numbers must be good.


a = 45
c = 60


your solution is:


70 adults were on the train when it left station B.









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