document.write( "Question 1142928: A chemist has three different acid solutions. The first acid solution contains
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\n" ); document.write( ". He wants to use all three solutions to obtain a mixture of
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Algebra.Com's Answer #763658 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let x be the amount of the 35% solution, in liters.\r\n" );
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document.write( "Then the amount of the 55% solution is 3x liters,\r\n" );
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document.write( "and the amount of the 20% solution is  (90-x-3x) = (90-4x) liters.\r\n" );
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document.write( "The balance equation for the pure acid is\r\n" );
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document.write( "    0.2*(90-4x) + 0.35x + 0.55*(3x) = 0.4*90.\r\n" );
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document.write( "At this point the setup is completed, giving you one single equation for one unknown x.\r\n" );
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document.write( "Simplify and solve for x.\r\n" );
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document.write( "    18 - 0.8x + 0.35x + 1.65x = 36\r\n" );
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document.write( "    1.2x = 36 - 18 = 18.\r\n" );
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document.write( "    x             = \"18%2F1.2\" = 15 liters.\r\n" );
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document.write( "Thus the amount of the 35% solution is 15 liters;\r\n" );
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document.write( "     the amount of the 55% solution is 3*15 = 45 liters;\r\n" );
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document.write( "     the amount of the 20% solution is the rest  90 - 15 - 45 = 30 liters.\r\n" );
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document.write( "CHECK.  0.2*30 + 0.35*15 + 0.55*45 = 36 liters of the pure acid;\r\n" );
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document.write( "        0.4*90 = 36 liters of the pure acid.   ! Two values coincide - the solution is CORRECT !\r\n" );
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\n" ); document.write( "\n" ); document.write( "There is entire bunch of 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 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( "    - Advanced mixture problem for three alloys \r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on word problems for mixtures\r
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\n" ); document.write( "\n" ); document.write( "A convenient place to quickly observe these lessons from a  \"bird flight height\"  (a top view)  is the last lesson in the list.\r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution the 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 online textbook 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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