There are 4 cups in a quart.
So if Hudson has only a 1/4 measuring cup, this can be represented by the equation:
4/1/4, solving it we get: 4* 4 (dividing turns a fraction into its reciprocal)
So, 4*4=16
Hudson will have to fill the 1/4 measuring cup 16 times to get a quart.
I hope this helps!