document.write( "Question 1118639: Jan wants to make 15L of a 14% sugar solution by mixing together a 20% sugar solution and a 10% sugar solution. How much of each solution must she use? \n" ); document.write( "

Algebra.Com's Answer #734013 by ikleyn(52785) $\"\"$ $\"About$

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document.write( "Notice that in this problem all concentrations are in kilograms of the sugar per liter.\r\n" );
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document.write( "Let x be the volume of the  20%  sugar solution to mix (in liters).\r\n" );
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document.write( "Then the volume of the  10%  sugar solution is (15-L).\r\n" );
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document.write( "The balance equation for the sugar mixture is \r\n" );
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document.write( "0.2x + 0.1*(15-x) = 0.14*15\r\n" );
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document.write( "Simplify and solve for x:\r\n" );
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document.write( "0.2x + 0.1*15 - 0.1x = 0.14*15\r\n" );
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document.write( "0.1x = 0.14*15 - 0.1*15\r\n" );
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document.write( "0.1x = 0.04*15  ====>  x =  = 0.4*15 = 6.\r\n" );
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document.write( "Answer.  6 liters of the 20% solution should be mixed with  15-6 = 9 liters of the  10% solution.\r\n" );
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document.write( "Check.   0.2*6 + 0.1*9 = 2.1   (kilograms is the total mass of the sugar in two input solutions)\r\n" );
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document.write( "         0.14*15 = 2.1 (kilograms is the mass of the sugar in the final mixtures)\r\n" );
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document.write( "         The two values coincide, which means that the solution and the answer are correc !\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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