document.write( "Question 243074: A caterer charges a fixed cost for preparing dinner plus an additional cost for each person served. You know the cost for 100 students will be $750 and the cost for 150 students will be $1050.\r
\n" ); document.write( "\n" ); document.write( "Find caterers fixed cost and the cost per student served.\r
\n" ); document.write( "\n" ); document.write( "Can you help solve?
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Algebra.Com's Answer #178177 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
x+100y=750
\n" ); document.write( "x+150y=1050 subtract.
\n" ); document.write( "--------------------------
\n" ); document.write( "-50y=-300
\n" ); document.write( "y=-300/-50
\n" ); document.write( "y=$6 per person.
\n" ); document.write( "x+100*6=750
\n" ); document.write( "x+600=750
\n" ); document.write( "x=750-600
\n" ); document.write( "x=$150 is the fixed cost.
\n" ); document.write( "Proof:
\n" ); document.write( "150+150*6=1050
\n" ); document.write( "150+900=1050
\n" ); document.write( "1050=1050
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