Sage hiked from the start of the trail to lookout point. shen then hiked back to giant boulder to camp for the night. what was the total distance in miles that sage hiked?

From the start of the trail to the lookout point, the distance is given to be equal to 8 3/4 miles. Then, we determine the distance she covered from lookout point to Giant boulder by determining the difference between the distances. 
                                  8 3/4 miles - 4 1/4 miles = 4.5 miles or 4 1/2 miles
To calculate the total distance covered, we just have to add up 8 3/4 miles and 4 1/2 miles. This will give us the answer of 53/4 miles or 13.25 miles.