To solve this problem using Hamilton’s Method, let us break it down step by step. We are distributing 15 pieces of candy among four students based on the number of pages they read.

Step 1: Find the divisor

To find the divisor, divide the total number of pages read by all students by the total number of candies (15): $\text{Divisor} = \frac{\text{Total Pages}}{\text{Total Candy Pieces}}$

The total number of pages read is: $330 + 230 + 255 + 805 = 1620$ Thus: $\text{Divisor} = \frac{1620}{15} = 108$

Step 2: Calculate the quota for Skylar

The quota for Skylar is calculated by dividing Skylar's pages (230) by the divisor (108): $\text{Quota for Skylar} = \frac{\text{Skylar's Pages}}{\text{Divisor}} = \frac{230}{108} \approx 2.1296$

Step 3: Find the initial apportionment for Skylar

The initial apportionment is the whole number part of the quota: $\text{Initial Apportionment for Skylar} = \lfloor \text{Quota for Skylar} \rfloor = 2$

Summary

• Divisor: 108
• Quota for Skylar: 2.1296
• Initial Apportionment for Skylar: 2

Would you like help with the next steps for allocating the remaining candies or clarifying the explanation?

Related Questions

1. What are the quotas for the other students using the divisor?
2. How are the remaining candies distributed based on the fractional parts of the quotas?
3. Why does Hamilton’s Method ensure fairness in apportionment?
4. What happens if there is a tie in fractional parts during the final allocation?
5. How can this method be used in other scenarios, such as congressional representation?

Tip: Always calculate the divisor accurately, as it determines the fairness of the initial and final distributions.