document.write( "Question 1157493: How many liters each of a 15% acid solution and a 65% acid solution must be used to produce 70 liters of a 30% acid solution? \n" ); document.write( "

Algebra.Com's Answer #780369 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "Let x be the volume of the 65% solution to mix.\r\n" );
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document.write( "Then the volume of the 15% solution is (70-x) liters.\r\n" );
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document.write( "The volume of the pure acid in 65% solution is 0.65x liters..\r\n" );
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document.write( "The volume of the pure acid in 15% solution is 0.15*(70-x) liters.\r\n" );
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document.write( "The volume of acid solution in the final mixture is the sum of that in ingredients.\r\n" );
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document.write( "It gives you this equation\r\n" );
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document.write( "    0.65x + 0.15*(70-x) = 0.30*70.\r\n" );
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document.write( "From the equation, express x and calculate\r\n" );
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document.write( "    x =  = 21 liter.\r\n" );
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document.write( "ANSWER.  21 liter of the 65% solution, and the rest, 70-21 = 49 liters of the 15% solution.\r\n" );
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document.write( "CHECK.   0.65*21 + 0.15*49 = 21 liter of the pure acid = 0.30*70.   ! Precisely correct !\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 bunch of lessons, covering various types of mixture problems. See introductory 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 alloys \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( "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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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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