Hector picked atleast 5/9 of the total number of fruits picked from the trees. sam picked 24 fruits, which is 1/4 of the total number of fruits picked. what is the possible number of fruits hector picked?

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 

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