SOLUTION: The rent for a ski lodge is $600. The members of the ski club were to share the rental fee equally. When 5 members canceled, the cost per member increased by $4. How much did ea

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Question 271125: The rent for a ski lodge is $600. The members of the ski club were to share the rental fee equally. When 5 members canceled, the cost per member increased by $4. How much did each member finally pay for the rent?
Answer by Greenfinch(383) About Me  (Show Source):
You can put this solution on YOUR website!
Final members are X
Initially, members are X + 5
Initial rent i/s 600/(X + 5)
Final rent is 600/X
so 600/X - 600/(X + 5) = 4
600(X + 5) - 600X = 4X(X+5)
4X^2 +5X - 3000 = 0
(X + 30)(X - 25) = 0
X = -30, 25
So X = 25.
check, with 30 members, cost would be $20
with 25 members cost would be $24