document.write( "Question 1196202: casey and bella are selling pies for a school funraiser. Customers can buy apple pies and lemon meringue paies. Casey sold 6 apple pies and 4 lemon meringue pies for a total of $80. Gabriella sold 6 apple pies and 5 lemon meringue pies for a total of $94. what is the cost each of one apple pie and one lemon meringue pie?
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Algebra.Com's Answer #828941 by ikleyn(52847)\"\" \"About 
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\n" ); document.write( "casey and bella are selling pies for a school funraiser.
\n" ); document.write( "Customers can buy apple pies and lemon meringue paies.
\n" ); document.write( "Casey sold 6 apple pies and 4 lemon meringue pies for a total of $80.
\n" ); document.write( "Gabriella sold 6 apple pies and 5 lemon meringue pies for a total of $94.
\n" ); document.write( "what is the cost each of one apple pie and one lemon meringue pie?
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document.write( "It can be solved in different ways.\r\n" );
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document.write( "You can write the system of equations\r\n" );
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document.write( "    6a + 4L = 80     (1)\r\n" );
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document.write( "    6a + 5L = 94     (2)\r\n" );
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document.write( "and solve it, as the formal Algebra teaches you.\r\n" );
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document.write( "Alternatively, you can notice that the difference between two sets that they sold \r\n" );
document.write( "is 1 (one) lemon pie, from one side, and 94-80 = 14 dollars, from the other side.\r\n" );
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document.write( "So, one lemon pie costs $14, and one apple pie costs (from equation (1))\r\n" );
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document.write( "    a = \"%2880-4%2A14%29%2F6\" = \"24%2F6\" = 4 dollars.\r\n" );
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document.write( "ANSWER.  Apple pie costs $4.  Lemon pie costs $14.\r\n" );
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