document.write( "Question 1174027: Shawn and Mei are selling pies for a school fundraiser. Customers can buy cherry pies and lemon meringue pies. Shawn sold 10 cherry pies and 13 lemon meringue pies for a total of $282. Mei sold 5 cherry pies and 6 lemon meringue pies for a total of $134. Find the cost of each type of pie. \n" ); document.write( "

Algebra.Com's Answer #799386 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "From the condition, write the equations as you read\r\n" );
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document.write( "    10C + 13L = 282     (1)\r\n" );
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document.write( "     5C +  6L = 134     (2)\r\n" );
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document.write( "where C, of course, is the number of Cherry pies and L is the number of Lemons.\r\n" );
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document.write( "To solve, multiply second equation by 2, while keeping the first equation as is\r\n" );
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document.write( "    10C + 13L = 282     (1)\r\n" );
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document.write( "    10C + 12L = 268.    (2')\r\n" );
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document.write( "Next, subtract equation (2') from equation (1).  You will get\r\n" );
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document.write( "          13L - 12L = 282 - 268\r\n" );
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document.write( "              L     =    14.\r\n" );
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document.write( "Finally, from equation (2) find C\r\n" );
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document.write( "    5C + 6*14 = 134\r\n" );
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document.write( "    5C +   84 = 134\r\n" );
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document.write( "    5C        = 134 - 84 = 50.\r\n" );
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document.write( "     C                   = 50/5 = 10.\r\n" );
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document.write( "ANSWER.  Cherry pie price is 10 dollars per pie;  Lemon is 14 dollars per pie.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The method which I used in my solution is called the ELIMINATION method.\r
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