There are some benches in a classroom. If 4 students sit on each bench

1.	There are some benches in a classroom. 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?1. 362. 483. 564. 64
Answer» Correct Answer - Option 2 : 48 Given: If 4 students sit on each bench, then 3 benches are left unoccupied 3 students sit on each bench, 3 students are left standing Calculation: Let the total number of students be x. According to the question, (x/4) = Number of benches needed for all the students When 4 students sit on one bench, number of benches left = 3 Then, according to the first condition, the total number of benches = (x/4) + 3 ----(1) According to the question, (x/3) = number of benches needed for all - 1 When 3 students sit on one bench, number of benches needed extra = 1 Then, according to the second condition, the total number of benches available = (x/3) - 1 ----(2) Equating (1) and (2), (x/3) - 1 = (x/4) + 3 ⇒ (x/12) = 4 ⇒ x = 48 ∴ The total number of students present in the class is 48.

There are some benches in a classroom. 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?1. 362. 483. 564. 64

Answer» Correct Answer - Option 2 : 48

Given:

If 4 students sit on each bench, then 3 benches are left unoccupied

3 students sit on each bench, 3 students are left standing

Calculation:

Let the total number of students be x.

According to the question, (x/4) = Number of benches needed for all the students

When 4 students sit on one bench, number of benches left = 3

Then, according to the first condition, the total number of benches = (x/4) + 3 ----(1)

According to the question, (x/3) = number of benches needed for all - 1

When 3 students sit on one bench, number of benches needed extra = 1

Then, according to the second condition, the total number of benches available = (x/3) - 1 ----(2)

Equating (1) and (2),

(x/3) - 1 = (x/4) + 3

⇒ (x/12) = 4

⇒ x = 48

∴ The total number of students present in the class is 48.