document.write( "Question 40404: The Nutty Shoppe has 10 kg of mixed pecans and cashews, which sell for $ 8 per kilogram. Cashews alone sell for $8 per kilogram, and pecans sell for $9 per kilogram. How many kilograms of pecans are there in the mix?
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document.write( "How many kilograms of cashews are there in the mix?
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Algebra.Com's Answer #25858 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The Nutty Shoppe has 10 kg of mixed pecans and cashews, which sell for $ 8 per kilogram. Cashews alone sell for $8 per kilogram, and pecans sell for $9 per kilogram. How many kilograms of pecans are there in the mix? \n" ); document.write( "How many kilograms of cashews are there in the mix? \r \n" ); document.write( "\n" ); document.write( "Let amount of cashews be \"x\" kg \n" ); document.write( "Then amount of pecans is \"10-x\" kg \n" ); document.write( "Value of the cashews is 8x dollars. \n" ); document.write( "Value of the pecans is 9(10-x)=90-9x dollars \n" ); document.write( "Value of mixture = 8(10)= 80 dollars \n" ); document.write( "EQUATION: \n" ); document.write( " value + value = value \n" ); document.write( " 8x+90-9x=80 \n" ); document.write( " -x =-10 \n" ); document.write( " x=10 kg (amount of cashews) \n" ); document.write( "10-x=0 kg (amount of pecans} \n" ); document.write( "Quite a mixture; don't you think. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |