document.write( "Question 1095956: A 70% antiseptic solution is prepared by mixing a 50% antiseptic solution and a 80% antiseptic solution. How many liters of each must be used to produce 20 liters of the 70% antiseptic solution? \n" ); document.write( "

Algebra.Com's Answer #726859 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let x be the volume of the 50% solution, in liters.\r\n" );
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document.write( "Then the volume of the 80% solution is (20-x) liters (since you want to have 20 liters of the resulting solution).\r\n" );
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document.write( "The pure antiseptic volume in the mixture will be  \r\n" );
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document.write( "0.5x + 0.8*(20-x),\r\n" );
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document.write( "with each addend from the corresponding input ingredient.\r\n" );
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document.write( "Then the percentage equation (\"concentration\") will be\r\n" );
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document.write( " = 0.7        (<<<---=== 70% resulting solution).\r\n" );
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document.write( "Solve it step by step:\r\n" );
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document.write( "0.5x + 0.8*20 - 0.8x = 0.7*20\r\n" );
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document.write( "-0.3x = 0.7*20 - 0.8*20 = -0.1*20 = -2\r\n" );
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document.write( "x =  =  =  liters.\r\n" );
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document.write( "Answer.   liters of the 70% solution and  the rest  (20- ) =  liters of the 70% solution.\r\n" );
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\n" ); document.write( "For introductory lessons covering various types of mixture word problems see\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( "    - 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 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
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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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