There are certain number of benches in a classroom. If four students sit on each bench then three benches remain unoccupied. If, however, three students sit on each bench then three students remain standing in the class. Find the number of students in the class.
Answer
Answer (as printed):
Explanation
Let the total number of benches in the class be x. Case I. When 4 students sit on each bench In this case, total number of students = 4(x – 3). Case II. When 3 students sit on each bench In this case, total number of students = 3x + 3. \ 4(x – 3) = 3x + 3 ⇔ 4x – 12 = 3x + 3 ⇔ x = 15. Hence, number of students in the class = 4(x – 3) = 4 × 12 = 48.
Explanation as extracted from the printed page; notation may be imperfect.