document.write( "Question 634039: 48. MIXTURE PROBLEM. A pot contains 6L of brine at a concentration of 120g/L. How much of the water should be boiled off to increase the concentration to 200g/L? \n" ); document.write( "

Algebra.Com's Answer #399356 by Edwin McCravy(20055) $\"\"$ $\"About$

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MIXTURE PROBLEM. A pot contains 6L of brine at a concentration of 120g/L. How much of the water should be boiled off to increase the concentration to 200g/L?
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document.write( "Brine is water with salt dissolved in it.\r\n" );
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document.write( "Since there are 6L of the 120g/L brine, there are 6L×130g/L = 780 grams\r\n" );
document.write( "of salt in those 6 liters of brine.  \r\n" );
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document.write( "Let x = the number of liters of water needed so that those 780 grams of salt\r\n" );
document.write( "would give it a concentration of 200g/L\r\n" );
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document.write( "780 grams of salt is to x liters of water as 200 grams is to 1 liter of water:\r\n" );
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document.write( "         = \r\n" );
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document.write( "            200x = 780\r\n" );
document.write( "               x = \r\n" );
document.write( "               x = 3.9 liters of solution.\r\n" );
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document.write( "Therefore we must reduce the 6L down to 3.9L.\r\n" );
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document.write( "Therefore 6L - 3.9L = 2.1 liters of water must be boiled off.\r\n" );
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document.write( "Answer: 2.1L\r\n" );
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document.write( "Edwin

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