document.write( "Question 1103547: A metallurgist has one alloy containing 22% copper and another containing 53% copper. How many pounds of each alloy must she use to make 51 pounds of a third alloy containing 30% copper? \n" ); document.write( "

Algebra.Com's Answer #718234 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "Copper + copper      = copper\r\n" );
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document.write( "0.22*x + 0.53*(51-x) = 0.3*51  ====>\r\n" );
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document.write( "0.22x + 0.53*51 - 0.53x = 0.3*51,\r\n" );
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document.write( "-0.31x = 0.3*51 - 0.53*51 = -0.23*51  ====>  x =  =  = 37.839.\r\n" );
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document.write( "Answer.  37.839 pounds of the 22% alloy and (51-37.839) = 13.161 of the 53% alloy must be used.\r\n" );
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document.write( "Check.   0.22*37.839 + 0.53*13.161 = 15.3  pounds of copper;\r\n" );
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document.write( "         51*0.3 = 15.3 pounds of copper.    ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\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 the 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( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\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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