document.write( "Question 1113358: How many ounces of a 35% acid solution should be mixed with a 60% acid solution to get 40 ounces of a 50% acid solution? \n" ); document.write( "

Algebra.Com's Answer #728380 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let x = the amount of the 35%  acid solution needed (in ounces).\r\n" );
document.write( "The the amount of the 60%  acid solution needed is (40-x) ounces.\r\n" );
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document.write( "The amount of the \"pure\" acid in these solutions is 0.35*x + 0.6*(40-x).\r\n" );
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document.write( "It is exactly 50%, or 0.5 of 40 ounces, i.e. 0.5*40.\r\n" );
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document.write( "So, your \"pure acid amount\" equation is \r\n" );
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document.write( "0.35*x + 0.6*(40-x) = 0.5*40.\r\n" );
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document.write( "Simplify and solve it for x:\r\n" );
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document.write( "0.35x + 24 - 0.6x = 20,\r\n" );
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document.write( "-0.25x = 20 - 24,\r\n" );
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document.write( "-0.25x = -4,\r\n" );
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document.write( "x =  =  = 16.\r\n" );
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document.write( "Answer. 16 ounces of the 35% acid solution is needed.\r\n" );
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document.write( "Check.  16*0.35 + (40-16)*0.60 = 20 = 0.5*40  ounces.   ! 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( "--------------
\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( "    - Advanced mixture problems \r
\n" ); document.write( "\n" ); document.write( "    - Advanced mixture problem for three alloys \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
\n" ); document.write( "
\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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