document.write( "Question 1100474: Bubba has 48 ml of a solution that is 25% acid. How much water should he add to obtain a solution is only 15% acid? \n" ); document.write( "

Algebra.Com's Answer #714959 by ikleyn(52909) $\"\"$ $\"About$

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document.write( "Let V be the volume of water to add, in milliliters.\r\n" );
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document.write( "Then in the new mixture you have 0.25*48 mL of the pure acid, same amount of the pure acid as in the original 25% solution.\r\n" );
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document.write( "You add the volume V of water, and then your new mixture has the volume (48+V).\r\n" );
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document.write( "The concentration of acid in  the new solution is the ratio  of the pure acid in the new solution to its volume.\r\n" );
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document.write( "This ratio must be 15%, as the condition requires.\r\n" );
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document.write( "It gives you the \"concentration equation\"\r\n" );
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document.write( " = 0.15.         <<<---=== It is your basic equation, and it expresses the fact that the concentration of the new solution is 15%.\r\n" );
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document.write( "It is your basic equation, and as soon you got it, the setup step is completed.\r\n" );
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document.write( "To solve the equation, multiply its both sides by (48+V). You will get\r\n" );
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document.write( "0.25*48 = 0.15*(48+V).\r\n" );
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document.write( "Simplify it further and solve for V:\r\n" );
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document.write( "12 = 7.2 + 0.15V  ====>  0.15V = 12-7.2 = 4.8  ====>  V =  = 32.\r\n" );
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document.write( "Answer.  32 mL of water must be added.\r\n" );
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document.write( "Check.    = 0.15.  ! Correct: the concentration condition is SATISFIED !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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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( "\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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