There are some benches in a class room. If 4 students sit on each bench, then 3 benches are left unoccupied. However, if 3 students sit on each bench, 3 students are left standing. How many students are there in the class?

Options

A. 36
B. 48
C. 52
D. 56

Answer

B

Explanation

Let there be x students in the class.
When 4 students sit on each bench , number of benches =` x/4 + 3` When 3 students sit on each bench number of benches = `(x - 3)/(3)`
` rArr x/4 + 3 = (x - 3)/(3)`
` rArr 3x + 36 = 4x -12 `
x = 48