<PRE><B>Question 89234</B>
Let x=the whole trip
Then (2/3)x=two thirds of the whole trip
Also (1/2)x=half the whole trip
And (1/2)x+6=6 miles more than one half of the trip 

Now we are told that:
6 miles more than one half of the trip was the same as two-thirds the whol trip.

So our equation to solve is:

(1/2)x+6=(2/3)x  multiply both sides by 6 to get rid of fractions

3x+36=4x  subtract 3x from both sides

3x-3x+36=4x-3x  collect like terms

x=36 miles ------------the whole trip
(2/3)x=(2/3)*36=24 miles ----------------two thirds of the whole trip
(1/2)x=(1/2)*36=18 miles half the whole trip
6 miles more than one half of the trip=18+6=24 miles and this equals two thirds of the whole trip 


Hope this helps---ptaylor
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