Let the ratio of oranges to apples be x.
So, the ratio of oranges to apples is 4x and 8x.
Therefore, Total oranges = 4x and total apples = 8x
Since, a total of 96 apples and oranges are grown on his farm.
So,




Therefore,
Total number of oranges =

=

= 32.
So, there are 32 oranges grown at Pruitt's farm.