document.write( "Question 1117049: A chemist wishes to mix a solution that is 12% acid. She has on hand 10 liters of a 2% acid solution and wishes to add some 16% acid solution to obtain the desired 12% acid solution. How much 16% acid solution should she add? \n" ); document.write( "
Algebra.Com's Answer #732010 by ikleyn(52797)\"\" \"About 
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document.write( "pure acid amount + pure acid amount = total pure acid amount\r\n" );
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document.write( "0.02*10          + 0.16*x           = 0.12*(10+x)     <<<---=== it is your balance equation;  x is the amount (in liters) of the 16% solution.\r\n" );
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document.write( "0.02*10 + 0.16x = 0.12*10 + 0.12*x\r\n" );
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document.write( "0.16*x - 0.12*x = 0.12*10 - 0.02*10\r\n" );
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document.write( "(0.16 - 0.12)*x = 0.12*10 - 0.02*10\r\n" );
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document.write( "x = \"%280.12%2A10-0.02%2A10%29%2F%280.16-0.12%29\" = 25.\r\n" );
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document.write( "Answer.  25 liters of the 16% solution should be added.\r\n" );
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document.write( "Check.   \"%280.02%2A10+%2B+0.16%2A25%29%2F%2810+%2B+25%29\" = 0.12 = 12% of concentration of the final mixture.   ! Correct !\r\n" );
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\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( "\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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