document.write( "Question 1101793: Jason is making a nut mixture to sell at the local farmers' market. He mixes 6 pounds of pistachios with a nut mixture that is 60% pistachios. The resulting mixture is 76% pistachios. How many pounds of nut mixture does Jason make?\r
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document.write( "A. 17 lb
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document.write( "B. 6 lb
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document.write( "C. 15 lb
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document.write( "D. 9 lb \n" );
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Algebra.Com's Answer #716431 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! Let C denote the 60% solution and D denote the final 76% solution. \n" ); document.write( "We have 6 lbs of 100% solution. \n" ); document.write( "Using the method of alligation. \n" ); document.write( "24= 76 - 100 \n" ); document.write( "16= 60 - 76 \n" ); document.write( "E.g. There are 16 parts of C for every 24 parts of D \n" ); document.write( "then there are 6 parts of z, since (16/24)=6/z \n" ); document.write( "x= 9.0= 6/(16/24) lbs of 60% solution to add to your 6 lbs of 100% solution. \n" ); document.write( "y= 15.0= (6+9.0) lbs of the final 76% solution. \n" ); document.write( "check \n" ); document.write( "0.6 * 9.0 + 1 * 6 = 0.76*(6+9.0) \n" ); document.write( "5.4 + 6 = 0.76*(15.0) \n" ); document.write( "11.4 = 11.4 \n" ); document.write( "ok \n" ); document.write( " \r\n" ); document.write( "100 16 6 lbs of 100% solution\r\n" ); document.write( " 76 15 lbs of 76% solution\r\n" ); document.write( "60 24 24/16*6=9 lbs of 60% solution\r\n" ); document.write( " 40\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "15 lbs of 76% solution \n" ); document.write( " |