Question

The 1,053 students that attend a school will be placed as evenly as possible into each classroom. The school has 36 classrooms. At most, how many students will be in a classroom?

Answer 1

To find out how many students can be placed in each classroom, we start by dividing the total number of students by the number of classrooms.

The number of students is \( 1,053 \) and the number of classrooms is \( 36 \).

Calculating the division:

\[
\frac{1053}{36} \approx 29.25
\]

Since we cannot have a fraction of a student, we will take the integer part of the quotient. Thus, each classroom could initially have 29 students.

To find out how many students this would account for, we multiply:

\[
29 \times 36 = 1044
\]

Next, we need to determine how many students remain after placing 29 students in each classroom:

\[
1053 - 1044 = 9
\]

This means that, after placing 29 students in each of the 36 classrooms, we have 9 students left over. We can place one additional student in 9 of the classrooms. Therefore, 9 classrooms will have one extra student.

Thus, the distribution will be as follows:
- 9 classrooms will have \( 29 + 1 = 30 \) students,
- 27 classrooms will have \( 29 \) students.

The maximum number of students that can be in any single classroom is therefore

\[
\boxed{30}.
\]