A train left an interchange, taking some passengers in it. At the train stop, ¼ of the passengers got off and 5 people got on. At the 2nd stop, ½ of the people got off and 20 people got on the train. When the train left the 2nd stop, there were 80 people on it. How many people were on the train when it left the interchange?

Guest May 28, 2021

#1**+2 **

p = original count of people

1/4 got off leaving 3/4 p

5 people got on making it 3/4 p + 5

then 1/2 got off leaving 1/2 1/2 (3/4 p + 5)

and 201 got on for a total of 80 1/2 (3/4p +5) + 20 = 80 Now all you have to do is solve this for 'p'

can you do that ?

ElectricPavlov May 28, 2021

#2**0 **

I did the same thing, EP

"p" (in my case, N) turned out to be 460 / 3 ???

Cue "Crazy Train" by Ozzy Osburne !!!!

CPhill
May 28, 2021

#3**+1 **

Yeppers......! I didn't actually work through to a solution.... must be a wording error in the Question somewhere....

I have seen several erroneous problems lateley ~EP

ElectricPavlov
May 29, 2021