SOLUTION: a number of students rented a car for $160 for a one week camping trip. If another student had joined the original group, each persons share of expenses would have been reduced by

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Question 418226: a number of students rented a car for $160 for a one week camping trip. If another student had joined the original group, each persons share of expenses would have been reduced by $8. How many students were in the orginal group?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x represent the number in the original group

Question states***

 160/x - 160/(x+1) = $8

Solving for x

160(x+1) - 160x = 8x(x+1)

  8x^2  + 8x -160 = 0

   x^2 + x - 20 = 0   

  (x+5)(x-4)=0   x = 4  |tossing out negative solution for count



CHECKING our Answer***

 160/4 - 160/5 = $40 - $32 = $8