document.write( "Question 1124591: If you have 1.75L of an 18% alcohol solution, how much pure water must you add in order to decrease the concentration to 5%? \n" ); document.write( "

Algebra.Com's Answer #740914 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "The amount of the pure alcohol in 1.75 L of the 18% solution is  0.18*1.75 liters = 0.315 liters.\r\n" );
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document.write( "This volume of the pure alcohol will not change and will remain the same after adding water.\r\n" );
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document.write( "So, you need to add, let say, x liter of water to get\r\n" );
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document.write( "    = 0.05   (which is 5% of concentration of the final mixture)\r\n" );
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document.write( "So, you need solve this equation.\r\n" );
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document.write( "For it, multiply the both sides of the equation by (0.315+x) to get\r\n" );
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document.write( "    0.315 = 0.05*(0.315 + x).\r\n" );
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document.write( "Simplify and solve for x:\r\n" );
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document.write( "    0.315 = 0.05*0.315 + 0.05x\r\n" );
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document.write( "    0.315 - 0.05*0.315 = 0.05x\r\n" );
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document.write( "    x =  = 5.985.\r\n" );
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document.write( "Answer.  You need to add  5.985 liters of water.\r\n" );
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document.write( "Check.    = 0.05.    ! Correct !\r\n" );
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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
\n" ); document.write( "\n" ); document.write( "in this site.\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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\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( "\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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