A school district has a student population of 6,734 students. If the maximum class size is 25 students, how many teachers must the district hire to supplement their current staff of 217 teachers?

Rationale

To accommodate a student population of 6,734 with a maximum class size of 25, the district must hire 53 additional teachers.

To find the number of teachers required, divide the total number of students by the maximum class size to determine the number of classes needed, then subtract the current number of teachers to find how many more are necessary.

A (50) YOUR ANSWER

Calculating the number of classes needed, 6,734 students divided by 25 students per class equals 269.36, which rounds up to 270 classes. Subtracting the current staff of 217 teachers leaves a need for 53 teachers, not 50, making this option incorrect.

B (51) YOUR ANSWER

Similarly, using the same calculation, we determine that 270 classes are required. After accounting for the existing 217 teachers, the district still needs 53 additional teachers. Therefore, 51 is not sufficient to meet the demand, eliminating this option.

C (53) CORRECT

When dividing 6,734 by 25, we find 270 classes are necessary. With 217 teachers already employed, the district must hire 53 additional teachers to fulfill the class size requirements. This calculation confirms that this is the correct choice.

D (54) YOUR ANSWER

Although hiring 54 teachers might seem like a safe number, the calculation shows that only 53 additional teachers are necessary to accommodate all students. Thus, hiring one extra teacher is unnecessary and incorrect based on the calculated needs.

Conclusion

To provide adequate education for 6,734 students with a maximum class size of 25, the school district requires 270 classes, which translates to the hiring of 53 additional teachers after accounting for the existing staff. This ensures all students can be accommodated without exceeding the class size limit, highlighting the importance of precise staffing calculations in educational institutions.

A school district has a student population of 6,734 students. If the maximum class size is 25 students, how many teachers must the district hire to supplement their current staff of 217 teachers?

To accommodate a student population of 6,734 with a maximum class size of 25, the district must hire 53 additional teachers.

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