<PRE><B>Question 304742</B>
Let x = the length of the direct route.
Let x + 5 = the length of the scenic route.


The equation for the round trip is:


x + (x + 5) = 35


Remove parentheses and combine like terms to get:


2*x + 5 = 35


Subtract 5 from both sides of this equation to get:


2*x = 30


Divide both sides of this equation by 2 to get:


x = 15


The direct route is 15 miles in length and the scenic route is 20 miles in length.


15 + 20 = 35 confirming the answer is good.


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