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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?

 May 28, 2021
 #1
avatar+32679 
+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 ?

 May 28, 2021
 #2
avatar+119885 
0

I did the  same  thing, EP

 

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

 

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

 

cool cool cool

CPhill  May 28, 2021
 #3
avatar+32679 
+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 lateleyfrown    ~EP

ElectricPavlov  May 29, 2021

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