SOLUTION: A fraternity charters a bus for a ski trip at a cost of $360. When 6 more students join the trip, each person's cost decreases by $2. How many students were in the original group
Question 26423: A fraternity charters a bus for a ski trip at a cost of $360. When 6 more students join the trip, each person's cost decreases by $2. How many students were in the original group of travelers?
This is my work.
6(x-2)(x-2)=360
6x squared -24x + 24 -360=0 Found 2 solutions by Paul, stanbon:Answer by Paul(988) (Show Source):
You can put this solution on YOUR website! Let the orignial group be x
(x+6)(360-2x)
360x+2160-2x^2-12x=0,x
-2x^2+348x+2160=0,2
2x^2-348x-2160
Factor:
x=-6 and x=180
Remove the negative.
Hence, there were 180 orginal goup of travellers.
Paul.
You can put this solution on YOUR website! Let original number of students be "x"
Their individual cost is 360/x
If six more join there are now "x+6"
Individual cost for this expanded group would be 360/(x+6)
But this last individual cost is $2 less than the original individual cost.
EQUATION:
Original indiv. cost - New indiv cost = $2
360/x - 360/(x+6)= 2
1/x -1/(x+6)= 1/180
6/[x(x+6)] = 1/180
x^2+6x-1080=0
(x+36)(x-30)=0
x=30 (size of original group)
Cheers,
stan H.
(
