document.write( "Question 1093174: a solution containing 8% salt is to be mixed with a solution containing 16% salt to obtain a 50 liter mixture with 10%. How many liters of each solution should be used? \n" ); document.write( "

Algebra.Com's Answer #707785 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "let x = volume in liters of the 8% solution,\r\n" );
document.write( "    y = volume of the 16% solution.\r\n" );
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document.write( "Then\r\n" );
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document.write( "    x +     y = 50,         (1)    (total volume equation)\r\n" );
document.write( "0.08x + 0.16y = 0.1*50.     (2)    (salt content equation)\r\n" );
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document.write( "Express x = 50-y from eq(1), and substitute it into eq(2). You will get\r\n" );
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document.write( "0.08*(50-y) + 0.16y = 5,\r\n" );
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document.write( "4 - 0.08y + 0.16y = 5,\r\n" );
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document.write( "0.08y = 5 - 4 = 1  ====>  y =  = 12.5.\r\n" );
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document.write( "Answer.  12.5 liters of the 16% solution and 50-12.5 = 37.5 liters of the 8% solution must be mixed.\r\n" );
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document.write( "Check.    = 0.1.   ! Correct !\r\n" );
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\n" ); document.write( "There is entire bunch of introductory 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 alloys \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( "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\r
\n" ); document.write( "\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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