document.write( "Question 1131279: The grocery store we use does not mark prices on its goods.My wife went to this store, bought two packages of bacon and five cartons of eggs, and paid a total of $14.03. Not knowing that she went to the store, I also went to the same store, purchased five packages of bacon and two cartons of eggs, and paid a total of $19.43. Now we want to return two packages of bacon and two cartons of eggs. How much will be refunded? \n" ); document.write( "
Algebra.Com's Answer #747916 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "2B + 5C = 14.03 (1)\r\n" ); document.write( "5B + 2C = 19.43 (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Add the equation (both sides). You will get\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "7B + 7C = 14.03 + 19.43\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "7*(B+C) = 33.46\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now divide both sides by 7:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "B + C = 4.78.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now multiply both sides by 2. You will get\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "2B + 2C = 9.56. It is your ANSWER.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Answer. $9.56.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This problem was specially designed to teach you do not make unnecessary calculations when solving it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Calculating the prices of EACH item is NOT required in this problem. \n" ); document.write( "Making these calculations is UNNECESSARY work.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The problem should be solved exactly in a way as presented in my post.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is IMPORTANT you understand it.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " H a p p y l e a r n i n g ! !\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |