document.write( "Question 1116606: The Caverns of Sonora have two different tours: Crystal palace and horseshoe lake. Total length of the two tours is 3.25 miles. Crystal is a half mile less than twice the distance of Horseshoe Lake. Determine the length of each tour.\r
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Algebra.Com's Answer #731492 by ikleyn(52777) $\"\"$ $\"About$

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document.write( "Let x be the distance to Horseshoe Lake, in miles.\r\n" );
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document.write( "Then the length of the Crystal palace tour is (2x-0.5) miles, according to the condition.\r\n" );
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document.write( "The condition also says that the sum of two lengths is 3.25 miles, or\r\n" );
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document.write( "x + (2x-0.5) = 3.25.\r\n" );
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document.write( "3x -0.5 = 3.25\r\n" );
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document.write( "3x = 3.25 + 0.5 = 3.75  ====>  x =  = 1.25.\r\n" );
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document.write( "Thus the distance to Horseshoe Lake is 1.25 miles,  and the Crystal palace tour is 2*1.25 - 0.5 = 2 miles long.\r\n" );
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