3.In a classroom, if 6 students per bench are assigned to accommodate all students, one more bench will be required. However, if 7 students are accommodate per bench, there would be a space left for 5 students.What is the number of students in the class ?
A. 30 B. 45
C. 42 D. 72
Answer: Option:D
Let the number of benches in the class be x.
Then, 6(x + 1) = 7x - 5
x = 11.
Hence, number of students in the class = 6 ( x + 1)
= 6 x 12
= 72.
