SOLUTION: There are two different tours for a cave. The Palace tour and the lake tour. The Total length of both tours is 3.25 miles. The palace tour is a half-mile less than twice the distan

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Question 940847: There are two different tours for a cave. The Palace tour and the lake tour. The Total length of both tours is 3.25 miles. The palace tour is a half-mile less than twice the distance of the Lake Tour. Determine the length of each tour.
1. how do i write an equation for this.
2. How do i solve it.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = Palace tour in miles
Let = lake tour in miles
---------------------
(1)
(2)
---------------------
Substitute (2) into (1)
(1)
(1)
(1)
and
(2)
(2)
(2)
------------------
The lake tour is 1.25 mi
The Palace tour is 2 mi
------------------------
check:
(1)
(1)
(1)
OK

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