document.write( "Question 89234: On a trip to the Grand Canyon, Annie did a lot of hiking. On her two day hike, she discovered that 6 miles more than one half of the trip was the same as two-thirds the whol trip. What was the distances in miles that she traveled? \n" ); document.write( "
Algebra.Com's Answer #64885 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
Let x=the whole trip
\n" ); document.write( "Then (2/3)x=two thirds of the whole trip
\n" ); document.write( "Also (1/2)x=half the whole trip
\n" ); document.write( "And (1/2)x+6=6 miles more than one half of the trip \r
\n" ); document.write( "\n" ); document.write( "Now we are told that:
\n" ); document.write( "6 miles more than one half of the trip was the same as two-thirds the whol trip.\r
\n" ); document.write( "\n" ); document.write( "So our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "(1/2)x+6=(2/3)x multiply both sides by 6 to get rid of fractions\r
\n" ); document.write( "\n" ); document.write( "3x+36=4x subtract 3x from both sides\r
\n" ); document.write( "\n" ); document.write( "3x-3x+36=4x-3x collect like terms\r
\n" ); document.write( "\n" ); document.write( "x=36 miles ------------the whole trip
\n" ); document.write( "(2/3)x=(2/3)*36=24 miles ----------------two thirds of the whole trip
\n" ); document.write( "(1/2)x=(1/2)*36=18 miles half the whole trip
\n" ); document.write( "6 miles more than one half of the trip=18+6=24 miles and this equals two thirds of the whole trip \r
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\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor
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