document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #604223 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
At first assume there are N friends so each person paid, $\"C%5B1%5D=480%2FN\"$
\n" ); document.write( "Now that 2 more people showed up there are N+2 friends and each pays, $\"C%5B2%5D=480%2F%28N%2B2%29\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"C%5B2%5D=C%5B1%5D-8\"$
\n" ); document.write( " $\"480%2F%28N%2B2%29=480%2FN-8\"$
\n" ); document.write( " $\"480N=480%28N%2B2%29-8N%28N%2B2%29\"$
\n" ); document.write( " $\"480N=480N%2B960-8N%5E2-16N\"$
\n" ); document.write( " $\"8N%5E2%2B16N-960=0\"$
\n" ); document.write( " $\"N%5E2%2B2N-120=0\"$
\n" ); document.write( " $\"%28N%2B12%29%28N-10%29=0\"$
\n" ); document.write( "Only the positive solution makes sense here,
\n" ); document.write( " $\"N-10=0\"$
\n" ); document.write( " $\"N=10\"$
\n" ); document.write( "So originally there were 10 people, the cost was $48 per person.
\n" ); document.write( "When the two additional people came, the cost was $40 per person.
\n" ); document.write( "So at the end there were 12 people on the bus.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );