## In a class, if 6 students per bench are assigned to accommodate all students, one more bench will be required. If 7 students are to accommodate per bench, there would be a space left for 5 students. What is the number of students in the class?

Let no. of benches = x (6x+6) =(7x-5) 6+5 = 7x-x x=11. No.of students = (11×6 )+6 =72. With 6 students on the available 11 benches , 66 students will be seated & 1 more bench will be required for the remaining 6. If 7 students are seated on the available 11 benches , 77students …