document.write( "Question 1161874: How much of an alloy that is 10% copper should be mixed with 400 ounces of an alloy that is 60% copper in order to get an alloy that is 20% copper
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Algebra.Com's Answer #785509 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "Let x be the amount (ounces) of the 10% copper alloy to mix.\r\n" );
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document.write( "It contains 0.1x ounces of the copper.\r\n" );
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document.write( "The other ingredient is 400 ounces of the 60% copper alloy, which has 0.6*400 ounces of the copper.\r\n" );
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document.write( "The total copper in ingredients is  0.1x + 0.6*400 ounces.\r\n" );
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document.write( "It should be 0.2*(x+400) copper in the resulting alloy:\r\n" );
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document.write( "    0.1x + 0.6*400 = 0.2*(x + 400).\r\n" );
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document.write( "Simplify and solve\r\n" );
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document.write( "    x =  = 1600.\r\n" );
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document.write( "ANSWER.  1600 ounces of the 10% copper alloy should be mixed.\r\n" );
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document.write( "CHECK.   0.1*1600 + 0.6*400 = 400 ounces of the copper in ingredients;\r\n" );
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document.write( "         0.2*(1600 + 400) = 0.2*2000 = 400 ounces of the copper in the resulting mixture.\r\n" );
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document.write( "         ! Precisely correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical mixture word problem. \r
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\n" ); document.write( "\n" ); document.write( "There is entire bunch of introductory lessons covering various types of mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - More Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving typical word problems on mixtures for solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for antifreeze solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for alloys \r
\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "You will find there ALL TYPICAL mixture problems with different methods of solutions,
\n" ); document.write( "explained at different levels of detalization, from very detailed to very short.\r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution mixture word problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook in the section \"Word problems\" under the topic \"Mixture problems\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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