Answer:
To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.
Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles
Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles
Total distance = Distance for the first 5 days + Distance for the next 5 days
Total distance = 17.5 miles + 21.25 miles
Total distance = 38.75 miles
Therefore, the student ran a total of 38.75 miles during these 10 days.