Question

In a boarding school, if 3 students assign to a room, there will be 20 students without a room. It's students assign to a room, there will be 2 extra rooms. What is the number of students and the amount of room?​

Answer 1

Let's represent the number of students as "S" and the number of rooms as "R".

From the problem, we can set up the following system of equations:

Equation 1: 3S + 20 = R

Equation 2: S + 2 = (1/3)R

We can solve for S and R by substituting Equation 1 into Equation 2:

S + 2 = (1/3)(3S + 20)

S + 2 = S + (20/3)

(2/3) = (20/3) - S

S = 18

Now we can substitute S = 18 into Equation 1 to solve for R:

3(18) + 20 = R

R = 74

Therefore, there are 18 students and 74 rooms in the boarding school.