SOLUTION: A group of friends hire a bus for the day for $480 agreeing to share the cost equally. At the last minute two more people decide to get on the bus and as a result each person pays

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Question 983419: A group of friends hire a bus for the day for $480 agreeing to share the cost equally. At the last minute two more people decide to get on the bus and as a result each person pays eight dollars less how many people were on the bus?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
At first assume there are N friends so each person paid, C%5B1%5D=480%2FN
Now that 2 more people showed up there are N+2 friends and each pays, C%5B2%5D=480%2F%28N%2B2%29
So,
C%5B2%5D=C%5B1%5D-8
480%2F%28N%2B2%29=480%2FN-8
480N=480%28N%2B2%29-8N%28N%2B2%29
480N=480N%2B960-8N%5E2-16N
8N%5E2%2B16N-960=0
N%5E2%2B2N-120=0
%28N%2B12%29%28N-10%29=0
Only the positive solution makes sense here,
N-10=0
N=10
So originally there were 10 people, the cost was $48 per person.
When the two additional people came, the cost was $40 per person.
So at the end there were 12 people on the bus.