document.write( "Question 1155447: You need 270 mL of a 55% alcohol solution. On hand, you have a 50% alcohol mixture and a 80% alcohol mixture. How much of each mixture will you need to obtain the desired solution? \n" ); document.write( "
Algebra.Com's Answer #778029 by ikleyn(52781)\"\" \"About 
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document.write( "Let x be the volume of the 80% mixture to mix (in mL),\r\n" );
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document.write( "Then the volume of the 50% mixture is (270-x) mL.\r\n" );
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document.write( "The total volume of the pure alcohol in ingredients is  0.8*x + 0.50*(270-x)  mL,\r\n" );
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document.write( "and it should be equal to the volume of the pure alcohol in the mixture, which is  0.55*270.\r\n" );
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document.write( "So, your equation is\r\n" );
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document.write( "    0.8*x + 0.50*(270-x) = 0.55*270   milliliters of the pure alcohol.\r\n" );
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document.write( "From the equation\r\n" );
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document.write( "    x = \"%280.55%2A270+-+0.50%2A270%29%2F%280.8-0.50%29\" = 45.\r\n" );
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document.write( "ANSWER.  45 ml of the 80% mixture and the rest  270-45 = 225 ml of the 50% mixture.\r\n" );
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document.write( "CHECK.  I will check for the concentration  \"%280.8%2A45+%2B+0.50%2A225%29%2F270\" = 0.55 = 55%.     ! Precisely correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "There is a bunch of lessons in this site,  covering various types of mixture problems.  See introductory 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( "    - 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 the 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 online textbook 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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