document.write( "Question 682079: Here is my problem as written in my homework:
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document.write( "A metallurgist needs to produce 10kg of an alloy which is 65% copper and 35% tin. He has an alloy which is 50% copper and 50% tin. How much of this 50-50 alloy must he melt together with pure copper to make the desired alloy? How much pure copper must he use?\r
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document.write( "Here is how I attempted to solve the problem:
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document.write( "(10-x)(.50)(.50)+(x)(1)=10(.65)(.35)\r
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document.write( "So the answer that I got was that he would need 2.03 kg of the pure copper and 7.97 kilograms of the 50-50 mixture.\r
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document.write( "When I substituted the numbers into my equation, it did not come out right.\r
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document.write( "Thank you for your time and patience. \n" );
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Algebra.Com's Answer #423038 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Here is my problem as written in my homework: \n" ); document.write( "A metallurgist needs to produce 10kg of an alloy which is 65% copper and 35% tin. He has an alloy which is 50% copper and 50% tin. How much of this 50-50 alloy must he melt together with pure copper to make the desired alloy? How much pure copper must he use? \n" ); document.write( "** \n" ); document.write( "let x=amt of pure copper to be melted with 50-50 alloy \n" ); document.write( "10-x=amt of 50-50 alloy to be melted with pure copper \n" ); document.write( ".. \n" ); document.write( "100%*x+50%*(10-x)=65%*10 \n" ); document.write( "x+(10-x)/2=6.5 \n" ); document.write( "2x+10-x=2*6.5=13 \n" ); document.write( "x+10=13 \n" ); document.write( "x=3 \n" ); document.write( "10-x=7 \n" ); document.write( "amt of pure copper to be melted with 50-50 alloy=3kg \n" ); document.write( "amt of 50-50 alloy to be melted with pure copper=7kg \n" ); document.write( " |