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)\"\" \"About 
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( "
\n" );