By using Jefferson's method and rounding the modified divisor to the nearest whole number, the number of tutors to assign to each subject is as follows:
Math: 6 tutors
English: 5 tutors
Chemistry: 2 tutors
Biology: 2 tutor
The modified divisor is used was approximately 57.
Number of tutors to be assigned to each subject
To determine the number of tutors that should be assigned to each subject using Jefferson's method, calculate the modified divisor.
Jefferson's method involves dividing the number of students enrolled in each subject by a modified divisor to allocate tutors.
The modified divisor is calculated by dividing the total number of students enrolled in all subjects by the total number of tutors available.
Total number of students enrolled in all subjects:
355 (Math) + 295 (English) + 125 (Chemistry) + 75 (Biology) = 850
Total number of tutors available: 15
Modified divisor = Total number of students enrolled in all subjects / Total number of tutors available
= 850 / 15
= 56.67 (rounded to two decimal places)
So, the modified divisor is approximately 56.67.
Since the modified divisor is not a whole number, round it to the nearest whole number to determine the number of tutors to assign to each subject.
Thus;
Modified divisor = 57 (rounded to the nearest whole number)
Now, allocate tutors to each subject by dividing the number of students enrolled in each subject by the modified divisor:
Subject: Math
Students Enrolled: 355
Tutors to Assign: 355 / 57 ≈ 6.23 (rounded to the nearest whole number)
Tutors to Assign (Math): 6
Subject: English
Students Enrolled: 295
Tutors to Assign: 295 / 57 ≈ 5.18 (rounded to the nearest whole number)
Tutors to Assign (English): 5
Subject: Chemistry
Students Enrolled: 125
Tutors to Assign: 125 / 57 ≈ 2.19 (rounded to the nearest whole number)
Tutors to Assign (Chemistry): 2
Subject: Biology
Students Enrolled: 75
Tutors to Assign: 75 / 57 ≈ 1.32 (rounded to the nearest whole number)
Tutors to Assign (Biology): 2
This is assigned 2 because 0.32 is bigger than 0.23 which is the closest.
Therefore, using Jefferson's method and rounding the modified divisor to the nearest whole number, the number of tutors to assign to each subject is as follows:
Math: 6 tutors
English: 5 tutors
Chemistry: 2 tutors
Biology: 2 tutor