Question

In a classroom there are certain number of benches. If 6 students are made to sit on a bench then to accomodate all of them, one more bench is needed. However, if 7 students are made to sit on a bench then after accomodating all of them, space for 5 students is left. What is the total number of students in the class?​

Answer 1

Step-by-step explanation:

no. of students = x

no. of benches = y

x = 6(y+1)

x = 6y+6 ------(1)

x = 7(y)-5

x = 7y - 5 ------(2)

(2)-(1),

y -11 = 0

y = 11

no. of benches = 11

no. of students = 6(11+1) = 12×6 = 72

Answer 2

Answer:

no.of benches = 11

no.of students = 72