Answer:
B = 1320
[tex]A= \dfrac54B[/tex]
Step-by-step explanation:
Let A = number of students at Branch A
Let B = number of students at Branch B
If the number of students taking classes at Branch A is 1/4 more than Branch B, then:
[tex]A=1 \dfrac14B[/tex]
[tex]\implies A= \dfrac54B[/tex]
If Branch A has 1,650 students, then substitute A = 1650 and solve for B:
[tex]\implies 1650= \dfrac54B[/tex]
[tex]\implies 1650 \times 4= 5B[/tex]
[tex]\implies 6600 =5B[/tex]
[tex]\implies B=\dfrac{6600}{5}[/tex]
[tex]\implies B=1320[/tex]