document.write( "Question 971955: A metal worker has a metal alloy that is 30% copper and another alloy that is 80% copper. How many kilograms of each alloy should the metalworker combine to creat 60 kilograms of a 51% copper alloy? \n" ); document.write( "

Algebra.Com's Answer #854513 by ikleyn(53875) $\"\"$ $\"About$

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\n" ); document.write( "A metal worker has a metal alloy that is 30% copper and another alloy that is 80% copper.
\n" ); document.write( "How many kilograms of each alloy should the metalworker combine to create 60 kilograms of a 51% copper alloy?
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\n" ); document.write( "\n" ); document.write( "        The solution and the answer in the post by @lwsshak3 are incorrect due to arithmetic error.\r
\n" ); document.write( "\n" ); document.write( "        See my correct solution below.\r
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\n" ); document.write( "\n" ); document.write( "let x=amt of 30% copper alloy to combine
\n" ); document.write( "60-x=amt of 80% copper alloy to combine
\n" ); document.write( "..
\n" ); document.write( "0.3x + 0.8*(60-x) = 0.51*60
\n" ); document.write( "0.3x + 48 - 0.8x = 30.6
\n" ); document.write( "48 - 30.6 = 0.8x - 0.3x
\n" ); document.write( "0.50x = 17.4
\n" ); document.write( "x = 34.8
\n" ); document.write( "How many kilograms of each alloy should the metalworker combine?
\n" ); document.write( "30% copper alloy: 34.8 kg
\n" ); document.write( "80% copper alloy: 60-34.8 = 25.2 kg\r
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\n" ); document.write( "\n" ); document.write( "CHECK for the final concentration    $\"%280.3%2A34.8%2B0.8%2A25.2%29%2F%2834.8%2B25.2%29\"$ = 0.51.         ! precisely correct !\r
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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