document.write( "Question 1044620: How many quarts of pure antifreeze must be added to 5 quarts of a 10​% antifreeze solution to obtain a 40​% antifreeze​ solution? \n" ); document.write( "
Algebra.Com's Answer #659932 by Edwin McCravy(20056)\"\" \"About 
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How many quarts of pure antifreeze must be added to 5 quarts
\n" ); document.write( "of a 10% antifreeze solution to obtain a 40% antifreeze solution?
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document.write( "Here's another way to think of it:\r\n" );
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document.write( "The 5 quarts of 10% antifreeze contains (5)(0.10) = 0.5 quart of pure \r\n" );
document.write( "antifreeze, (and the rest of the 5 quarts is 4.5 quarts of water, \r\n" );
document.write( "which we aren't concerned with).\r\n" );
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document.write( "We are adding X quarts of pure antifreeze to the 0.5 quarts of pure \r\n" );
document.write( "antifreeze (and water).  So after pouring them together, \r\n" );
document.write( "there will be X+0.5 quarts of pure antifreeze in the mixture.  And \r\n" );
document.write( "that will make 5+X quarts of liquid.\r\n" );
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document.write( "The equation is \r\n" );
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document.write( "\"%22%22=%22%22\"\"%2240%25%22=40%2F100=0.4\"\r\n" );
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document.write( "            \"%28X%2B0.5%29%2F%285%2BX%29\"\"%22%22=%22%22\"\"0.4\"\r\n" );
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document.write( "Multiply both sides by (5+X)\r\n" );
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document.write( "            \"X%2B0.5\"\"%22%22=%22%22\"\"0.4%285%2BX%29\"\r\n" );
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document.write( "            \"X%2B0.5\"\"%22%22=%22%22\"\"2.0%2B0.4X%29\"\r\n" );
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document.write( "Multiply through by 10 to clear the decimals.  \r\n" );
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document.write( "            \"10X%2B5\"\"%22%22=%22%22\"\"20%2B4X%29\"\r\n" );
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document.write( "            \"6X\"\"%22%22=%22%22\"\"15\"\r\n" );
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document.write( "            \"X\"\"%22%22=%22%22\"\"15%2F6\"\r\n" );
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document.write( "            \"X\"\"%22%22=%22%22\"\"5%2F2\"\r\n" );
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document.write( "            \"X\"\"%22%22=%22%22\"\"matrix%281%2C2%2C2.5%2Cquarts%29\"\r\n" );
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document.write( "Edwin

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