SOLUTION: Business club members at USIU decide to chatter a bus at a cost of $900 for a trip to the Kenya National Archives.At the last minute, five people decide not to go.This raises the t

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Question 202167: Business club members at USIU decide to chatter a bus at a cost of $900 for a trip to the Kenya National Archives.At the last minute, five people decide not to go.This raises the transport cost per person by $2.How many people originally intended to take the trip?
Let the original number of group be x
Number of final group be x-5
Charge per person originally $900/x
Charge per person finally $900/x-5
charge per person orignally - $2 = Charge per person finally
900/x - 2x(x-5) = 900/x-5
900(x-5)- 2xx + 10x =900x
900x - 4500 - 2xx + 10x = 900x
2xx + 10x - 4500 = 0

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Good up thru about half way
900%2F%28x-5%29+-+900%2Fx+=+2 difference is $2
900x+-+900%28x-5%29+=+2%2A%28x%29%2A%28x-5%29
4500+=+2%28x%5E2-5x%29
0+=+x%5E2+-+5x+-+2250
0+=+%28x-50%29%28x%2B45%29
Since the cost ,x, must be positive, the only answer option is x=50
Verify your answer, is 900/50 2 dollars less than 900/45???