document.write( "Question 1097577: Solution A has 50% alcohol wine while solution B has 75% alcohol,how much of each solution must be added to come up with 4 liters of alcohol solution with 60% alcohol?\r
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Algebra.Com's Answer #712024 by ikleyn(52806) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let x = the amount of the 50%  alcohol wine needed (in liters).\r\n" );
document.write( "Then the amount of the 75%  alcohol wine needed is (4-x) liters.\r\n" );
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document.write( "The amount of the \"pure\" alcohol in these solutions is 0.5*x + 0.75*(4-x).\r\n" );
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document.write( "It must be exactly 60%,  or  0.6  of 4 liters,  i.e. 0.6*4 liters.\r\n" );
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document.write( "So, your \"pure alcohol\" equation is \r\n" );
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document.write( "0.5*x + 0.75*(4-x) = 0.6*4.\r\n" );
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document.write( "Simplify and solve it for x:\r\n" );
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document.write( "0.5x + 3 - 0.75x = 2.4,\r\n" );
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document.write( "-0.25x = 2.4 - 3,\r\n" );
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document.write( "-0.25x = -0.6,\r\n" );
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document.write( "x =  = 2.4.\r\n" );
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document.write( "Answer. 2.4 liters of 50% alcohol wine and 4-2.4 = 1.6 liters of 75% alcohol wine are needed.\r\n" );
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document.write( "Check.  2.4*0.5 + 1.6*0.75 = 2.4 = 4*0.6.   ! 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
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\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
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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
\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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