document.write( "Question 1162058: Alcore Inc. has two aluminum alloys on site. One is 52% aluminum and the other is 37% aluminum. How
\n" ); document.write( "much of each must they use to make 250 kilograms of an aluminum alloy that is 43% aluminum? \n" ); document.write( "

Algebra.Com's Answer #785760 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "Let x = the amount of the pure aluminium in the 52% alloy, in kilograms.\r\n" );
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document.write( "Then the amount of the pure aluminium in the 37% alloy is (250-x) kilograms.\r\n" );
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document.write( "The amounts of the pure aluminium in the ingredients is the same as in the final alloys.\r\n" );
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document.write( "It gives you this equation\r\n" );
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document.write( "    0.52x + 0.37*(250-x) = 0.43*250.\r\n" );
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document.write( "From the equation,\r\n" );
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document.write( "    x =  = 100.\r\n" );
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document.write( "ANSWER.  100 kilograms of the 52% alloy and the rest, 250-100 = 150 kilograms of the 37% alloy.\r\n" );
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document.write( "CHECK.  100*0.52 + 150*0.37 = 107.5 kilograms of the aluminium in ingredients, and\r\n" );
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document.write( "        250*0.43 = 107.5 kilograms of the aluminium in the final alloy.  \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 problem on mixtures. See the lessons\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 dry substances like coffee beans, nuts, cashew and peanuts\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like candies, dried fruits\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like soil and sand\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( "    - Advanced mixture problems \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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