Final answer:
Darren can fill 2 bags with the given amounts of trail mix.
Step-by-step explanation:
To find the number of bags Darren can fill, we need to divide the amount of trail mix he made (7/2 pounds) by the amount he puts into each bag (7/4 pounds).
Dividing 7/2 by 7/4 is the same as multiplying 7/2 by 4/7, which gives us (7/2) * (4/7) = 28/14 = 2 bags.
Therefore, Darren can fill 2 bags with the given amounts of trail mix.