document.write( "Question 1149432: If drink A contains 3% milk and drink B contains 84% milk. How much of each solution should be mixed in order to create 135 liters of a solution that contains 78% milk? \n" ); document.write( "

Algebra.Com's Answer #770761 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "Let x be the volume of drink A and y be the volume of drink B.\r\n" );
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document.write( "Drink A contains  0.03*x liters  of milk.\r\n" );
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document.write( "Drink B contains  0.84*y  liters of milk.\r\n" );
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document.write( "The mixture has the volume of  (x+y) liters.\r\n" );
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document.write( "The mixture contains  0.78*(x+y) liters of milk.\r\n" );
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document.write( "So you have this system of 2 equations in 2 unknowns\r\n" );
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document.write( "         x +      y = 135   liters     (1)\r\n" );
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document.write( "    0.03*x + 0.84*y = 0.78*135         (2)\r\n" );
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document.write( "Equation (2) says that the volume of the milk in the mixture is the sum of the milk volumes in ingredients.\r\n" );
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document.write( "From equation (1), express x = 135 - y  and substitute it into equation (1).  You will get\r\n" );
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document.write( "    0.03*(135-y) + 0.84*y = 0.78*135.\r\n" );
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document.write( "From this equation, express y and calculate \r\n" );
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document.write( "    y =  = 125.\r\n" );
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document.write( "ANSWER.  125 liters of the 84% drink should be nixed with (135-125) = 10 liters of the 3% drink.\r\n" );
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document.write( "CHECK.   Calculate concentration of the mixture   = 0.78 = 78%.   ! Precisely correct !\r\n" );
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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( "\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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