document.write( "Question 524794: Danielle and Pete are selling pies for a school fundraiser. Customers can buy blueberry pies and lemon meringue pies. Danielle sold 4 blueberry pies and 8 lemon meringue pies for a total of $152. Pete sold 2 blueberry pies and 8 lemon meringue pies for $144. Find the cost of one blueberry pie and one lemon meringue pie. \n" ); document.write( "
Algebra.Com's Answer #347914 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Cost of one Blueberry pie = b \n" ); document.write( "Cost of one Lemon meringue pie = m\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Danielle sold 4 blueberry pies and 8 lemon meringue pies for a total of $152 \n" ); document.write( "4*b+8*m=152 \n" ); document.write( "4b+8m=152...........(1) \n" ); document.write( "Pete sold 2 blueberry pies and 8 lemon meringue pies for $144 \n" ); document.write( "2*b+8*m=144 \n" ); document.write( "3b+8m=144.........(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract (2) from (1) \n" ); document.write( "4b+8m=152 \n" ); document.write( "-3b-8m=-144 \n" ); document.write( "----------- \n" ); document.write( "b=8 \n" ); document.write( "Put the value of b in (1) \n" ); document.write( "4b+8m=152...........(1) \n" ); document.write( "4*8+8m=152 \n" ); document.write( "32+8m=152 \n" ); document.write( "8m=152-32 \n" ); document.write( "8m=120 \n" ); document.write( "m=120/8 \n" ); document.write( "m=15\r \n" ); document.write( "\n" ); document.write( "Cost of one Blueberry pies = b = $8 \n" ); document.write( "Cost of one Lemon meringue pies = m = $15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "===== \n" ); document.write( "4b+8m=152...........(1) \n" ); document.write( "4*8+8*15=152 \n" ); document.write( "32+120=152 \n" ); document.write( "152=152\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3b+8m=144.........(2) \n" ); document.write( "3*8+8*15=144 \n" ); document.write( "24+120=144 \n" ); document.write( "144=144 \n" ); document.write( " \n" ); document.write( " |