document.write( "Question 1098393: You need a 65% alcohol solution. On hand, you have a 390 mL of a 10% alcohol mixture. You also have 95% alcohol mixture. How much of the 95% mixture will you need to add to obtain the desired solution?\r
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Algebra.Com's Answer #712742 by ikleyn(52782) $\"\"$ $\"About$

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document.write( "Let x be amount (the volume in mL) of the 95% mixture, which is under the question.\r\n" );
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document.write( "Then the \"concentration\" equation is\r\n" );
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document.write( " = 0.65.\r\n" );
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document.write( "To solve it, multiply both sides by (390+x). You will get\r\n" );
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document.write( "0.1*390 + 0.95x = 0.65*(390+x).  ====>\r\n" );
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document.write( "Multiply both sides by 100:\r\n" );
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document.write( "10*390 + 95x = 65*(390+x).  ====>  \r\n" );
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document.write( "10*390 + 95x = 65*390 + 65x  ====>  95x - 65x = 65*390 - 10*390  ====>  30x = 55*390  ====>  x = {{(55*390)/30) = 55*13 = 715.\r\n" );
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document.write( "Answer.  715 mL of the 95% alcohol solution is needed.\r\n" );
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document.write( "         You will obtain 715+390 = 1150 mL of the 65% alcohol solution.\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
\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( "in this site.\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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