Answer:
Explanation:
To determine the number of teacher aides to be apportioned to the Second grade and Third grade using the Hamilton method, we need to follow these steps:
1. Calculate the standard divisor: Divide the total number of teacher aides (25) by the total number of students (224). This gives us a standard divisor of approximately 0.1116 (rounded to four decimal places).
2. Calculate the quotas for each class: Multiply the number of students in each class by the standard divisor. This will give us the initial quotas for each class.
- Second grade: 35 students x 0.1116 = 3.906 (rounded to three decimal places)
- Third grade: 27 students x 0.1116 = 3.013 (rounded to three decimal places)
3. Calculate the adjusted quotas: Adjust the initial quotas to whole numbers by rounding them up or down. To do this, we compare the fractional part of each quota to 0.5. If it's less than 0.5, we round down; if it's equal to or greater than 0.5, we round up.
- Second grade: The fractional part of 3.906 is 0.906, which is greater than 0.5. Therefore, the adjusted quota for Second grade is 4.
- Third grade: The fractional part of 3.013 is 0.013, which is less than 0.5. Therefore, the adjusted quota for Third grade is 3.
The number of teacher aides to be apportioned to the Second grade is 4, and the number of teacher aides to be apportioned to the Third grade is 3.