document.write( "Question 260956: A caterer's total cost for catering a party includes a fixed cost, which is the same for every party. In addition the caterer charges a certain amount for each guest. If it cost $300 to serve 25 guest and $420 to serve 40 guests, find the fixed cost and the cost per guest\r
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Algebra.Com's Answer #192314 by checkley77(12844)\"\" \"About 
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F+25X=300
\n" ); document.write( "F+40X=420 SUBTRACT.
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\n" ); document.write( "-15X=-120
\n" ); document.write( "X=-120/-15
\n" ); document.write( "X=$8 PER GUEST.
\n" ); document.write( "F+25*8=300
\n" ); document.write( "F+200=300
\n" ); document.write( "F=300-200
\n" ); document.write( "F=$100 IS THE FIXED COST.
\n" ); document.write( "PROOF:
\n" ); document.write( "100+40*8=420
\n" ); document.write( "100+320=420
\n" ); document.write( "420=420
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