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 o

Question 186469: 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 ravelers?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of student in original group
Let = the original cost per person
given:
(1)
(2)
(2)
Substitute (1) in (2)
(2)
(2)
(2)
Substitute this in (1)
(1)
(1)
(1)
Use quadratic formula

There were 30 students in the original group
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK
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