SOLUTION: A group of students is on sightseeing tour. The total fare is $120 and this is to be equally shared among students.If two more students join the tor, each pay $2 less. what is orig

 

Hi,

Let x represent the original number of students in group

    |Multiplying thru by x(x+2) so as all denominators = 1

 120(x+2) - 2x(x+2) = 120x

 120x + 240 - 2x^2 - 4x = 120x

    2x^2 + 4x - 240 = 0

     x^2 + 2x - 120 = 0    (Tossing out the negative solution for unit measure)

   (x +12)(x-10) = 0

           x = 10, the original number of students in group

CHECKING our answer***

 $12 - $2 = $120/12 = $10

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