SOLUTION: in a picnic, a total bus fare of rs 360 is to be equally paid by a number of passengers. if there were 3 passengers more, each would have paid rs 6 less. find the number of passeng

Question 1092474: in a picnic, a total bus fare of rs 360 is to be equally paid by a number of passengers. if there were 3 passengers more, each would have paid rs 6 less. find the number of passengers.
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.

Let x be the number of passengers under the question.

Then each pays  rs  for a ticket.


Had be the 3 more passengers, each would pay rs .


The condition says that the difference of ticket price would be rs 6.
It gives you an equation

 -  = 6.    (1)


Cancel the factor 6 in both sides. You will get

 -  = 1.      (2)


Solve this equation to get the answer x = 12.


      I solved it mentally.
      Actually, the regular procedure of solution starts with multiplying both sides of the equation (2) by x*(x+3).


The rest is just technique and arithmetic.

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