Let
x---------> the total number of fruits picked
we know that
Sam picked 24 fruits, which is ---------> 1/4 of the total number of fruits picked
24=(1/4)*x-------> x=24*4-----> 96
so
the total number of fruits picked is 96
Hector picked at least 5/9 of the total number of fruits picked
(5/9)*96-----> 53.33
the answer is
the possible number of fruits hector picked is 53