document.write( "Question 401354: A caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost for 100 students will be $750 and the cost for 150 students will be $1050.
\n" ); document.write( " Find the caterer’s fixed cost and the cost per student served.
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #284051 by mananth(16946)\"\" \"About 
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A caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost for 100 students will be $750 and the cost for 150 students will be $1050.
\n" ); document.write( " Find the caterer’s fixed cost and the cost per student served. \r
\n" ); document.write( "\n" ); document.write( "..\r
\n" ); document.write( "\n" ); document.write( "fixed cost = x
\n" ); document.write( "serving charges per person = y
\n" ); document.write( "..
\n" ); document.write( "x+100y=750.....1
\n" ); document.write( "x+150y=1050.....2
\n" ); document.write( "...
\n" ); document.write( "multiply (1) by -1
\n" ); document.write( "-x-100y=-750
\n" ); document.write( "..
\n" ); document.write( "Add to (2)
\n" ); document.write( "150y-100y=1050-750
\n" ); document.write( "50y=300
\n" ); document.write( "/50
\n" ); document.write( "y=6
\n" ); document.write( "..
\n" ); document.write( "plug y in (1)
\n" ); document.write( "x+100*6=750
\n" ); document.write( "x=750-600
\n" ); document.write( "x=150
\n" ); document.write( "..
\n" ); document.write( "Fixed charge = $150
\n" ); document.write( "per student $6\r
\n" ); document.write( "\n" ); document.write( "...
\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( "
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