document.write( "Question 1192262: You are at the store, and are trying to remember how much bread, meat, and cheese you were supposed to buy. The bread costs $3 per loaf, the meat costs $5 per pound, and the cheese costs $2 per pound. You know that you are to buy fifteen items, that the total cost will be $51, and that you are supposed to purchase one more meat than cheese. How many meat do you need to purchase?\r
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Algebra.Com's Answer #824173 by ikleyn(52879) $\"\"$ $\"About$

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\n" ); document.write( "You are at the store, and are trying to remember how much bread, meat, and cheese you were supposed to buy.
\n" ); document.write( "The bread costs $3 per loaf, the meat costs $5 per pound, and the cheese costs $2 per pound.
\n" ); document.write( "You know that you are to buy fifteen items, that the total cost will be $51,
\n" ); document.write( "and that you are supposed to purchase one more meat than cheese.
\n" ); document.write( "How many meat do you need to purchase?
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document.write( "x pounds of meat,\r\n" );
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document.write( "(x-1) pounds of cheese and\r\n" );
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document.write( "(15 - x - (x-1)) = 16-2x loaves of bread.\r\n" );
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document.write( "The total money equation is\r\n" );
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document.write( "    3*(16-2x) + 5x + 2*(x-1) = 51.   (1)\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    48 - 6x + 5x + 2x - 2 = 51\r\n" );
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document.write( "    46 + x = 51\r\n" );
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document.write( "         x = 51 - 46\r\n" );
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document.write( "ANSWER.  5 pounds of meat.\r\n" );
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document.write( "CHECK.  Then the left side of equation (1) is  3*(16-2*5) + 5*5 + 2*(5-1) = 51,\r\n" );
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document.write( "        which is precisely correct.\r\n" );
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