document.write( "Question 1134842: pure acid is to be added to a 10% acid solution to obtain 90L of 32% soulution. what amounts of each should be used? how many liters of 100% pure acid should be used to make the solution? \n" ); document.write( "

Algebra.Com's Answer #752336 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Let x be the pure acid volume (in liters), and\r\n" );
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document.write( "let y be the volume of the 10% acid solution to be mixed.\r\n" );
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document.write( "Then you have these two equations:\r\n" );
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document.write( "    for the total liquid volume\r\n" );
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document.write( "        x + y = 90             (1)\r\n" );
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document.write( "    for the pure acid volume\r\n" );
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document.write( "        x + 0.1y = 0.32*90     (2)\r\n" );
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document.write( "Subtract equation (2) from equation (1). You will get\r\n" );
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document.write( "            0.9y = 90 - 0.32*90.\r\n" );
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document.write( "Next divide both sides by 0.9. You will get\r\n" );
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document.write( "               y =  = 68.\r\n" );
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document.write( "Thus you need 68 liters of the 10% acid solution.\r\n" );
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document.write( "To find x, use equation (1)\r\n" );
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document.write( "    x + 68 = 90\r\n" );
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document.write( "and get from it\r\n" );
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document.write( "    x = 90 - 68 = 22.\r\n" );
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document.write( "The problem is just solved.  You need  22 liters of the pure acid and  68 liters of the 10% acid solution.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical mixture problem.\r
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\n" ); document.write( "\n" ); document.write( "In this site, there is a huge collection of lessons covering various types of mixture word problems.
\n" ); document.write( "Start from these introductory lessons\r
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\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( "    - Typical word problems on mixtures from the archive\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( "\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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