let
x-------> Jaime budget
s------> fraction of Jaime budget for student tutors
we know that
x=(1/4)x+(3/7)x+s
3/7 is equal to-----> (3/7)*(2/2)----> 6/14
substitute
x=(1/4)x+(6/14)x+s
x=(7/14)x+s
s=x-(7/14)x
s=(7/14)x-------> (1/2)x------> half of the budget is for student tutors.
the answer is
half of the budget is for student tutors