document.write( "Question 1156913: Three varieties of coffee- Coffee A, Coffee B, Coffee C - are combined and roasted, yielding a 53-lb batch of coffee beans. Twice as many pounds of Coffee C, which retails for 12.76 per lb, are needed as Coffee A which sells for 15.99 per lb. Coffee B retails for 12.31 per lb. How many pounds of each coffee should be used in a blend that sells for 12.82 per lb? \n" ); document.write( "

Algebra.Com's Answer #779697 by ikleyn(52818) $\"\"$ $\"About$

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Three varieties of coffee- Coffee A, Coffee B, Coffee C - are combined and roasted, yielding a 53-lb batch of coffee beans.
\n" ); document.write( "Twice as many pounds of Coffee C, which retails for 12.76 per lb,
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\n" ); document.write( "Coffee B retails for 12.31 per lb. How many pounds of each coffee should be used in a blend that sells for 12.82 per lb?
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document.write( "x  pounds Coffee A\r\n" );
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document.write( "2x pounds Coffee C\r\n" );
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document.write( "and (53-x-2x) = 53-3x Coffee B.\r\n" );
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document.write( "The total money equation \r\n" );
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document.write( "    15.99x + 12.31*(53-3x) + 12.76*(2x) = 53*12.82.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "     15.99x - 12.31*3x +12.76*2x + 12.31*53 = 53*12.82\r\n" );
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document.write( "     (15.99 - 12.31*3 + 12.76*2)x = 53*12.82 - 12.31*53\r\n" );
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document.write( "     4.58x                        = 27.03\r\n" );
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document.write( "          x                       = 27.03/4.58\r\n" );
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document.write( "          x                       = 5.902\r\n" );
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document.write( "ANSWER.  5.902 pounds Coffee A; 11.803 pounds Coffee C, and the rest,  53-5.902 - 11.803 = 35.295 pounds Coffee B.\r\n" );
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