Let's use the variable "B" to represent the number of students at Branch B.
The problem states that the number of students at Branch A is 1/4 more than the number of students at Branch B. We can express this relationship using the following equation:
number of students at Branch A = number of students at Branch B + 1/4(number of students at Branch B)
We know that the number of students at Branch A is 1,650, so we can substitute this value into the equation:
1,650 = B + 1/4(B)
Now we can solve for B:
1,650 = 5/4(B)
B = 1,320
Therefore, Branch B has 1,320 students.