document.write( "Question 932100: how many liters of a 20% alcohol should be added to 6 liters of a 40% alcohol solution so that the mixture is a 35% alcohol solution? \n" ); document.write( "

Algebra.Com's Answer #565959 by Edwin McCravy(20056) $\"\"$ $\"About$

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ow many liters of a 20% alcohol should be added to 6 liters of a 40% alcohol solution so that the mixture is a 35% alcohol solution?\r
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document.write( "Make this chart:\r\n" );
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document.write( "                         |  liters   | percent as |  liters of   |\r\n" );
document.write( "                         | of liquid | a decimal  | pure alcohol |\r\n" );
document.write( "-------------------------|-----------|------------|--------------|\r\n" );
document.write( "      weaker solution    |           |            |              |\r\n" );
document.write( "     stronger solution   |           |            |              | \r\n" );
document.write( "-------------------------|-----------|------------|--------------|\r\n" );
document.write( "medium strength solution |           |            |              | \r\n" );
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document.write( "Let x be the answer, x = no. of liters of weaker solution.\r\n" );
document.write( "And fill in what is given:\r\n" );
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document.write( "                         |  liters   | percent as |  liters of   |\r\n" );
document.write( "                         | of liquid | a decimal  | pure alcohol |\r\n" );
document.write( "-------------------------|-----------|------------|--------------|\r\n" );
document.write( "      weaker solution    |     x     |   0.20     |              |\r\n" );
document.write( "     stronger solution   |     6     |   0.40     |              | \r\n" );
document.write( "-------------------------|-----------|------------|--------------|\r\n" );
document.write( "medium strength solution |           |   0.35     |              | \r\n" );
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document.write( "Now we get the number of liters of liquid by adding x and 6, getting x+6,\r\n" );
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document.write( "                         |  liters   | percent as |  liters of   |\r\n" );
document.write( "                         | of liquid | a decimal  | pure alcohol |\r\n" );
document.write( "-------------------------|-----------|------------|--------------|\r\n" );
document.write( "      weaker solution    |     x     |   0.20     |              |\r\n" );
document.write( "     stronger solution   |     6     |   0.40     |              | \r\n" );
document.write( "-------------------------|-----------|------------|--------------|\r\n" );
document.write( "medium strength solution |    x+6    |   0.35     |              | \r\n" );
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document.write( "Next we get the number of liters of pure alcohol in each by multiplying\r\n" );
document.write( "the number of liters of liquid by the percentage of each:\r\n" );
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document.write( "                         |  liters   | percent as |  liters of   |\r\n" );
document.write( "                         | of liquid | a decimal  | pure alcohol |\r\n" );
document.write( "-------------------------|-----------|------------|--------------|\r\n" );
document.write( "      weaker solution    |     x     |   0.20     |   0.20x      |\r\n" );
document.write( "     stronger solution   |     6     |   0.40     |   0.40(6)    | \r\n" );
document.write( "-------------------------|-----------|------------|--------------|\r\n" );
document.write( "medium strength solution |    x+6    |   0.35     | 0.35(x+6)    |\r\n" );
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document.write( "The equation comes from:\r\n" );
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document.write( "Solve that and get x=2 liters.\r\n" );
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document.write( "Edwin

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