document.write( "Question 184857: Avis Proctor works at a gourmet delicatessen. She is preparing a cheese tray for a large reception. She is using some cheeses that sell for $8 per lb and others that sell for $12 per lb. How many pounds of cheese at each price should she use in the oreder for the mixed cheeses on the tray to wigh of 56 lb and sell for $10.50 per lb? \n" ); document.write( "
Algebra.Com's Answer #138712 by stanbon(75887) ![]() You can put this solution on YOUR website! Avis Proctor works at a gourmet delicatessen. She is preparing a cheese tray for a large reception. She is using some cheeses that sell for $8 per lb and others that sell for $12 per lb. How many pounds of cheese at each price should she use in the order for the mixed cheeses on the tray to weigh 56 lb and sell for $10.50 per lb? \n" ); document.write( "---------------------------- \n" ); document.write( "Quantity Equation: x + y = 56 \n" ); document.write( "Value Equation...:8x + 12y = 10.5*56 \n" ); document.write( "--------------------------------------- \n" ); document.write( "Modify to prepare for elimination: \n" ); document.write( "8x + 8y = 8*56 \n" ); document.write( "8x + 12y = 10.5*56 \n" ); document.write( "------------------------- \n" ); document.write( "Subtract 1st from 2nd to solve for \"y\": \n" ); document.write( "4y = 2.5*56 \n" ); document.write( "y = 2.5*14 \n" ); document.write( "y = 35 (# of lbs of $12 cheese in the mixture) \n" ); document.write( "------- \n" ); document.write( "Substitute into x+y = 56 to solve for \"x\": \n" ); document.write( "x + 35 = 56 \n" ); document.write( "x = 21 (# of lbs of $8 cheese in the mixtue) \n" ); document.write( "================================================ \n" ); document.write( "cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |