document.write( "Question 1060952: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
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\n" ); document.write( "\n" ); document.write( " salt. She wants to obtain
\n" ); document.write( "30\r
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\n" ); document.write( "\n" ); document.write( " salt. How many ounces of each solution should she use? \n" ); document.write( "

Algebra.Com's Answer #675778 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
\n" ); document.write( "65% salt and Solution B is 80% salt. She wants to obtain 30 ounces of a mixture that is 70% salt.
\n" ); document.write( "How many ounces of each solution should she use?
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document.write( "I am not a chemist, but know (from the school, from the literature, from \"the air\") that at normal conditions \r\n" );
document.write( "the maximal possible concentration of salt (common table salt NaCl) in water is about 37%.\r\n" );
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document.write( "You can read more about it from the Internet.\r\n" );
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document.write( "But here, I understand, only the Math problem is considered without questioning on feasibility.\r\n" );
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document.write( "OK. The solution is as follows:\r\n" );
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document.write( "Let A be the volume of the 65% solution to be mixed, in ounces. \r\n" );
document.write( "Then the volume of the 80% solution to be mixed is (30-A) ounces.\r\n" );
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document.write( "Then you have this \"salt concentration\" balance equation\r\n" );
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document.write( "0.65*A + (30-A)*0.8 = 0.7*30.\r\n" );
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document.write( "Simplify and solve for A:\r\n" );
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document.write( "0.65A + 24 - 0.8A = 21,\r\n" );
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document.write( "0.65A - 0.8A = 21 - 24,\r\n" );
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document.write( "-0.15A = -3,\r\n" );
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document.write( "A =  = 20.\r\n" );
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document.write( "Answer.  20 ounces of the 65% solution must be mixed with 30-20 = 10 ounces ot the 80% solution.\r\n" );
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\n" ); document.write( "\n" ); document.write( "There is entire bunch of 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 the 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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