Answer:
53 teachers
Step-by-step explanation:
First, we need to determine how many teachers are required. If the school district serves 6,734 students with a maximum class size of 25, then the number of teachers needed can be calculated as:
6,734 / 25 = 269.36
Since we cannot have a fraction of a teacher, we must round our result to the nearest whole number (269 or 270).
Taking 269 teachers with 25 students per class results in:
269 • 25 = 6,725 students, which is insufficient, given there are 6,734 students.
This indicates that at least 270 teachers are necessary.
Since there are already 217 teachers, it implies that 270 - 217 = 53 additional teachers are required.