document.write( "Question 1045977: How many liters of an antifreeze that is 18% alcohol must be mixed with an antifreeze that is 10% alcohol to produce an antifreeze that is 15% alcohol \n" ); document.write( "

Algebra.Com's Answer #661513 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "How many liters of an antifreeze that is 18% alcohol must be mixed with an antifreeze that is 10% alcohol to produce an antifreeze that is 15% alcohol
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document.write( "Let \"x\" be a volume of the 18% antifreeze and \"y\" be a volume of the 18% antifreeze to mix.\r\n" );
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document.write( "Then the total volume is x+y;\r\n" );
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document.write( "The volume of the pure antifreeze in x liters of the 18% antifreeze is 0.18*x;\r\n" );
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document.write( "The volume of the pure antifreeze in y liters of the 10% antifreeze is 0.10*y;\r\n" );
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document.write( "The volume of the pure antifreeze in the mixture is 0.18x + 0.10y.\r\n" );
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document.write( "The condition on the concentration of the mixture says and requires \r\n" );
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document.write( " = 0.15,   or\r\n" );
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document.write( "0.18x + 0.1y = 0.15*(x+y),  or\r\n" );
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document.write( "0.18x - 0.15x = 0.15y - 0.1y,   or\r\n" );
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document.write( "0.3x = 0.5y,\r\n" );
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document.write( "Then y =  = ,  or   = .\r\n" );
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document.write( "In other words, the ratio of the volume of the 10% antifreeze to the volume of the 18% antifreeze must be ,  or  0.6.\r\n" );
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document.write( "For example, you can take 3 liters of the 10% antifreeze and 5 liters of the  18% antifreeze.\r\n" );
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document.write( "Let's check it:   =  =  = 0.15.   Correct.\r\n" );
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document.write( "Answer.  The ratio of the volume of the 10% antifreeze to the volume of the 18% antifreeze must be ,  or  0.6.\r\n" );
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\n" ); document.write( "\n" ); document.write( "For many other solved problems on liquid mixtures see the 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( "    - Typical word problems on mixtures from the archive\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on word problems for mixtures\r
\n" ); document.write( "\n" ); document.write( "in this site.\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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