Question

There are some benches in a classroom. if 4 students sit on each bench then 3 bench are left unoccupied.however if 3 students sit on each bench then 3 students are left standing. find how many students in the class ​

Answer 1

Answer:

The number of students is 48.

Step-by-step explanation:

Let the number of students =  

y

let the number of benches =  

x

from the first statement

y=4x−12

(three empty benches * 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 for x in equation 2

y=3⋅

15+3=48

Hope It Helps!!!