document.write( "Question 1034619: Hi, the pharmacist gives me a 1.5 liter bottle of 20% solution and asks me to mix with water to make as much 12% solution as possible. How much water will I use? \n" ); document.write( "

Algebra.Com's Answer #649264 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( " Hi, the pharmacist gives me a 1.5 liter bottle of 20% solution and asks me to mix with water to make as much 12% solution as possible.
\n" ); document.write( "How much water will I use?
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document.write( "Let x be the volume of water to add, in liters.\r\n" );
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document.write( "Then the volume of the new solution is 1.5 + x liters.\r\n" );
document.write( "The original 1.5 liters of solution contains 1.5*0.2 liters of the pure substrate (remember, 0.2 = 20%).\r\n" );
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document.write( "So, you have this equation to find x:\r\n" );
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document.write( " = 0.12,\r\n" );
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document.write( "where 0.12 is the concentration of the new solution.\r\n" );
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document.write( "To solve it, multiply both sides by (1.5+x), and you will get\r\n" );
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document.write( "0.3x = 1.5*0.12 + 0.12x,\r\n" );
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document.write( "0.3x - 0.12x = 0.18,\r\n" );
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document.write( "0.18x = 0.18,\r\n" );
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document.write( "x = 1.\r\n" );
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document.write( "Answer.  1 liter of water should be added.\r\n" );
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