Answer: There are 25 bags in all that he can fill.

Step-by-step explanation:

Since we have given that

Number of blueberry scones = 50

Number of cranberry scones = 75

We need to find the greatest number of bags he can fill so that  each bag should have an equal number of blueberry scones and an equal number of cranberry scones.

So, H.C.F. of 50 and 75 = 25

So, there are 25 bags that he can fill.

Number of blueberry scones in each bag would be

dfrac{50}{25}=2

Number of cranberry scones in each bag would be

dfrac{75}{25}=3

Hence, there are 25 bags in all that he can fill.