document.write( "Question 1203540: Two different gasohol mixtures are available. One contains 12% ethanol and the other 5% ethanol. How much of each should be mixed to obtain 14 gal of ethanol having 10% alcohol?
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Algebra.Com's Answer #839188 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "Mix x gallons of the 12% ethanol and (14-x) gallons of the 5% ethanol.\r\n" );
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document.write( "An equation for the amount of the pure ethanol in ingredient and the mixture is\r\n" );
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document.write( "    0.12x + 0.05*(14-x) = 0.1*14  gallons of ethanol.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    0.12x + 0.7 - 0.05x = 1.4\r\n" );
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document.write( "    0.12x - 0.05x = 1.4 - 0.7\r\n" );
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document.write( "        0.07x     =    0.7\r\n" );
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document.write( "            x     =   0.7/0.07 = 10.\r\n" );
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document.write( "ANSWER.  10 gallons of the 12% ethanol and 14-10 = 4 gallons of the 5% ethanol.\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( "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
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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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