document.write( "Question 740890: The coffee merchant wants to blend a mildly strong coffee called Nervous Nellie with an extremely strong coffee called Nervous Breakdown to create a medium strength coffee he plans to call Nervous Wreck. If the Nellie flavor costs $1.20 per pound and the Breakdown flavor costs $1.40 per pound, how many pounds of the Nellie is needed to create a 30 pound blend which costs $1.35 per pound?
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Algebra.Com's Answer #852608 by ikleyn(53419) $\"\"$ $\"About$

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\n" ); document.write( "The coffee merchant wants to blend a mildly strong coffee called Nervous Nellie with an extremely strong coffee called Nervous Breakdown to create
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document.write( "Let x be the number of pounds of the $1.20 per pound coffee (Nellie).\r\n" );
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document.write( "Then the number of pounds of the $1.40 per pound coffee (Breakdown) is (30-x).\r\n" );
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document.write( "Write the total money equation\r\n" );
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document.write( "    1.20x + 1.40(30-x) = 30*1.35  dollars.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    1.20x + 1.40*30 - 1.40x = 30*1.35\r\n" );
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document.write( "     -0.2x = 30*1.35 - 30*1.40\r\n" );
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document.write( "     -0.2x = 30*(1.35-1.40)\r\n" );
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document.write( "     -0.2x = 30*(-0.05)\r\n" );
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document.write( "     0.2x = 30*0.05\r\n" );
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document.write( "        x =  =  = 7.5 pounds.\r\n" );
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document.write( "ANSWER.  7.5 pounds of the Nellie coffee is needed.\r\n" );
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document.write( "CHECK.    = 1.35 dollars per pound, the price for the pound of the blend.  ! correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "The answer 4 1/2 pounds in the post by @lynnlo is incorrect.\r
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