Question

In a classroom, there are number of benches. If 4 students sit on each bench, five benches are left vacant and if 3 students sit on each bench 4 students are left standing. Find the number of benches and students in the classroom.​

Answer 1

Answer:

y=3 *15 +3 = 48

Step-by-step explanation:

Let the number of students = y

Let the number of benches = x

from the first statement :

y = 4x - 12 ( 3 empty benches for *4 students)

from the second statement :

y =3x +3

substituting equation 2 into equation 1

3x+ 3 = 4x - 12

rearranging

x= 15

substituting the value of x in equation 2

y =3 * 15+3 = 48