30% passengers from a train got down at station
A,70% of the remaining got down at station B.
If there are still 1050 passengers in the train,
how many passengers were there before station
A, provided no one boarded the train at station
A and B;
Answers
Answer:
5000
Step-by-step explanation:
Let us assume that no one boarded the train at station at A and B.
Let,
total passenger before station A = x
30% passengers from train got down at station A.
Therefore total number pf passengers got down at station A = 30% of x = begin mathsize 16px style fraction numerator 30 straight x over denominator 100 end fraction space equals space space fraction numerator 3 straight x over denominator 10 end fraction end style
begin mathsize 16px style rightwards double arrow Remaining space passengers space space equals straight x space minus space fraction numerator 3 straight x over denominator 10 end fraction equals space fraction numerator 10 straight x space minus space 3 straight x over denominator 10 space end fraction space equals space fraction numerator 7 straight x over denominator 10 end fraction end style
70% passengers from train got down at station B.
Therefore total number pf passengers got down at station B = begin mathsize 16px style equals 70 percent sign space of space space fraction numerator 7 straight x over denominator 10 end fraction space equals fraction numerator 70 space over denominator 100 end fraction space cross times space fraction numerator 7 straight x over denominator 10 end fraction equals space space fraction numerator 49 straight x over denominator 100 end fraction end style
begin mathsize 16px style rightwards double arrow Remaining space passengers space space equals fraction numerator 7 straight x over denominator 10 end fraction space minus space fraction numerator 49 straight x over denominator 100 end fraction equals space fraction numerator 70 straight x space minus space 49 straight x over denominator 100 space end fraction space equals space fraction numerator 21 straight x over denominator 10 end fraction space space space space space end style
Given that there are still 1050 passengers in the train.
begin mathsize 16px style rightwards double arrow fraction numerator 21 straight x over denominator 100 end fraction space space equals space 1050
rightwards double arrow straight x space equals space 5000 end style
Therefore the total number of passengers before station A are 5000.