Question

The number of students taking classes at RSM Branch A is 1

4
more
than the number of students taking classes at RSM Branch B. If Branch
A has 1,650 students, how many students does Branch B have? Write an
equation that shows the relationship between the number of students at
the two branches, A and B.

Answer 1

B = 1320

`A= \frac54B`

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:

`A=1 \frac14B`

`\implies A= \frac54B`

If Branch A has 1,650 students, then substitute A = 1650 and solve for B:

`\implies 1650= \frac54B`

`\implies 1650 * 4= 5B`

`\implies 6600 =5B`

`\implies B=(6600)/(5)`

`\implies B=1320`