document.write( "Question 1178938: How much of Brand A fruit punch (55%
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Algebra.Com's Answer #808468 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "When people come to the forum with such problems, they should learn THE LOGIC of the solution,\r
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\n" ); document.write( "\n" ); document.write( "The people should not know these formulas, that @josgarithmetic tries to sell you.\r
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\n" ); document.write( "\n" ); document.write( "Even do not try to understand or memorize these formulas --- keeping them in your mind is absolutely useless\r
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\n" ); document.write( "\n" ); document.write( "THEREFORE, for a sake of your safety, ignore his post and do not load this TRASH into your head / (mind).\r
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\n" ); document.write( "\n" ); document.write( "May god saves you from it . . . \r
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\n" ); document.write( "\n" ); document.write( "Also, keep in mind that @josgarithmetic is one of \"quasi-\" and \"pseudo-\" tutors
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\n" ); document.write( "\n" ); document.write( "            @josgarithmetic, every time, as I see similar \"solution\"
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\n" ); document.write( "\n" ); document.write( "            @josgarithmetic, I promised it to you long time ago to react in this way \r
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document.write( "Let x be the amount of Brand A (the volume in liters) to be mixed.\r\n" );
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document.write( "It contains  0.55x liters of the pure juice.\r\n" );
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document.write( "2 liters of the Brand B contain  0.4*2 liters of the pure juice.\r\n" );
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document.write( "So, ingredients contain  0.55x + 0.4*2  liters of the pure juice.\r\n" );
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document.write( "The resulting mixture has the volume of  (x + 2) liters  and contains 0.5*(x+2)  liters of the pure juice.\r\n" );
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document.write( "So we make the equation\r\n" );
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document.write( "    0.55x + 0.4*2 = 0.5*(x+2),     (1)\r\n" );
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document.write( "saying that amount of the pure juice in ingredients is the same as in the final mixture.\r\n" );
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document.write( "From this equation\r\n" );
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document.write( "    x =  = 4 liters.\r\n" );
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document.write( "ANSWER.  4 liters of the Brand A must be mixed.\r\n" );
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document.write( "CHECK.   I will check if equation (1) is valid.\r\n" );
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document.write( "         Its left side is   0.55*4 + 0.4*2 = 3 liters of the pure juice.\r\n" );
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document.write( "         Its right side is  0.5*(4+2) = 3 liters.\r\n" );
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document.write( "         We have true equality - so the solution is correct.\r\n" );
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\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
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\n" ); document.write( "\n" ); document.write( "    - More Mixture problems\r
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\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
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\n" ); document.write( "\n" ); document.write( "You will find there ALL TYPICAL mixture problems with different methods of solutions,
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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
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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
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