document.write( "Question 1126501: Pure acid is to be added to a 10% acid solution to obtain 90 L of 64% solution. What amounts of each should be used? How many liters of 100% pure acid should be used to make the solution? \n" ); document.write( "

Algebra.Com's Answer #742838 by ikleyn(53763) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " Since both @addingup and @josgarithmetic gave incorrect solutions and wrong answers, I came to fix everything.\r
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document.write( "Let x be the volume of the pure acid to be added, in Liters.\r\n" );
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document.write( "Then the volume of the 10% acid should be 90-x.\r\n" );
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document.write( "Your equation is the balance of pure acid in both ingredients and in the mixture\r\n" );
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document.write( "    pure acid + pure acid = total pure acid,    or\r\n" );
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document.write( "    1x        + 0.1*(90-x) = 0.64*90.\r\n" );
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document.write( "Multiply by 100 both sides.\r\n" );
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document.write( "    100x + 900 - 10x = 64*90\r\n" );
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document.write( "    90x = 64*90 - 90\r\n" );
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document.write( "    x = 64 - 10\r\n" );
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document.write( "    x= 54    liters of the pure acid.\r\n" );
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document.write( "    and 36 liters of the 10% acid.\r\n" );
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document.write( "Answer.  54 liters of the pure acid  and  36 liters of the 10% acid.\r\n" );
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document.write( "Check.    = 0.64 = 64% concentration.    ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical mixture problem.\r
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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( "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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