The sum of the heights of all the students in a class is less than 6,000 cm. The height of the tallest student is 182 cm and that of the shortest student is 160 cm. Find the difference between the minimum and maximum possible number of students in the class.35363738

To find the difference between the minimum and maximum possible number of students in the class, we first need to find these two values.

1. Maximum number of students: This would be the case if all students were as short as possible. So, we divide the total height by the height of the shortest student.

   6000 cm / 160 cm/student = 37.5 students

   Since we can't have a fraction of a student, we round down to the nearest whole number. So, the maximum number of students is 37.

2. Minimum number of students: This would be the case if all students were as tall as possible. So, we divide the total height by the height of the tallest student.

   6000 cm / 182 cm/student = 32.97 students

   Again, we can't have a fraction of a student, so we round up to the nearest whole number. So, the minimum number of students is 33.

3. Finally, we find the difference between the maximum and minimum number of students.

   37 students - 33 students = 4 students

So, the difference between the minimum and maximum possible number of students in the class is 4.