document.write( "Question 1161169: How many quarts of pure antifreeze must be added to 9 quarts of a 50% antifreeze solution to obtain a 60% antifreeze solution? \n" ); document.write( "

Algebra.Com's Answer #784632 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Let Q be that unknown amount of the pure antifreeze to add, under the problem's question.\r\n" );
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document.write( "Then the total antifreeze in the mixture will be  Q + 0.5*9 quarts,\r\n" );
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document.write( "while the total volume of the mixture will be  Q+9 quarts.\r\n" );
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document.write( "Therefore,  the concentration equation is\r\n" );
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document.write( "     = 0.6   (which is 60% concentration).\r\n" );
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document.write( "From the equation,\r\n" );
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document.write( "    Q + 0.5*9 = 0.6*(Q+9),\r\n" );
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document.write( "    Q + 4.5 = 0.6Q + 5.4\r\n" );
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document.write( "    Q - 0.6Q = 5.4 - 4.5\r\n" );
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document.write( "    0.4Q     = 0.9\r\n" );
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document.write( "    Q        =  = 2.25.\r\n" );
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document.write( "ANSWER.  2.25 quarts of the pure antifreeze should be added.\r\n" );
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document.write( "CHECK.   = 0.6.     ! Precisely correct !\r\n" );
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\n" ); document.write( "It is a standard and typical mixture word problem. \r
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\n" ); document.write( "\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( "    - Advanced mixture problems \r
\n" ); document.write( "\n" ); document.write( "    - Advanced mixture problem for three alloys \r
\n" ); document.write( "\n" ); document.write( "    - Unusual word problem on mixtures \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( "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 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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