document.write( "Question 516387: A metallurgist has one alloy containing 25% copper and another containing 62% copper. How many pounds of each alloy must he use to make 45 pounds of a third alloy containing 34% copper? \n" ); document.write( "
Algebra.Com's Answer #344353 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Ally A \n" ); document.write( "Amount = x \n" ); document.write( "Concentration = 25%=0.25 \n" ); document.write( "================================================================================ \n" ); document.write( "Alloy B \n" ); document.write( "Amount = 45-x pounds \n" ); document.write( "Concentration = 62%=0.62 \n" ); document.write( "================================================================================ \n" ); document.write( "Resultant Alloy \n" ); document.write( "Amount=45 \n" ); document.write( "Concentration=34%=0.34 \n" ); document.write( "================================================================================ \n" ); document.write( "(Amount of A * Concentration of A)+(Amount of B * Concentration of B) = (Amount of Resultant * Concentration of Resultant) \n" ); document.write( "(x*0.25)+(45-x)(0.62)=(45)*0.34 \n" ); document.write( "0.25x+27.9-0.62x=15.3 \n" ); document.write( "-0.37x=15.3-27.9 \n" ); document.write( "-0.37x=-12.6 \n" ); document.write( "-0.37x/-0.37=-12.6/-0.37 \n" ); document.write( "x=34.05 pounds \n" ); document.write( "============================ \n" ); document.write( "Ally A \n" ); document.write( "Amount = 34.04 pounds \n" ); document.write( "Concentration = 25%=0.25 \n" ); document.write( "================================================================================ \n" ); document.write( "Alloy B \n" ); document.write( "Amount = 45-x=45-34.04=10.95 pounds \n" ); document.write( "Concentration = 62%=0.62\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |