document.write( "Question 1171420: Mark and Eduardo are selling pies for a school fundraiser. Customers can buy cherry pie and lemon meringue pies. Mark sold 8 cherry pies and 6 lemon meringue pies for a total of 192. Eduardo sold 8 cherry pies and 7 lemon meringue pies for a total of 212. Find the cost of each one cherry pie and one lemon meringue \n" ); document.write( "
Algebra.Com's Answer #796409 by VFBundy(438)![]() ![]() You can put this solution on YOUR website! Cost of one cherry pie = C \n" ); document.write( "Cost of one lemon meringue pie = L \n" ); document.write( " \n" ); document.write( "8C + 6L = 192 \n" ); document.write( "8C + 7L = 212 \n" ); document.write( " \n" ); document.write( "Multiply first equation by -1: \n" ); document.write( " \n" ); document.write( "-8C - 6L = -192 \n" ); document.write( "8C + 7L = 212 \n" ); document.write( " \n" ); document.write( "Add both equations together: \n" ); document.write( " \n" ); document.write( "L = 20 \n" ); document.write( " \n" ); document.write( "We now know L = 20. Plug this into either original equation. (I chose the first one.): \n" ); document.write( " \n" ); document.write( "8C + 6L = 192 \n" ); document.write( " \n" ); document.write( "8C + 6(20) = 192 \n" ); document.write( " \n" ); document.write( "8C + 120 = 192 \n" ); document.write( " \n" ); document.write( "8C = 72 \n" ); document.write( " \n" ); document.write( "C = 9 \n" ); document.write( " \n" ); document.write( "Cost of one cherry pie = C = 9 \n" ); document.write( "Cost of one lemon meringue pie = L = 20 |