There are benches in a classroom. If 4 students sit on each bench, then three benches are left vacant and if 3 students sit on each bench, then 3 students are left standing. The total number of students in the class is
(a)36
(b)42
(c)48
(d)54
Answer
Answer (as printed): C
Explanation
Let the number of benches in the class be $x$. Then, $4(x-3)=3 x+3 \Leftrightarrow x=15$. ∴ Total number of students $=3 \times 15+3=48$.
Explanation as extracted from the printed page; notation may be imperfect.