Problem

Q\#7: Five boroughs standard quotas for city council seats are given as follows. Use Adams's apportionment plan to round the quota given for Brooklyn. Manhattan: 23.67 The Bronx: 8.95 Queens: 10.51 Brooklyn: 11.09 Staten Island: 2.53

Solution

Step 1 :The problem provides the standard quotas for city council seats for the five boroughs as follows: Manhattan: 23.67, The Bronx: 8.95, Queens: 10.51, Brooklyn: 11.09, Staten Island: 2.53.

Step 2 :We are asked to use Adams's apportionment plan to round the quota given for Brooklyn. Adams's apportionment method is a type of apportionment method used to distribute seats proportionally. It works by iteratively decreasing a divisor until the rounded quotas sum to the total number of seats.

Step 3 :However, in this question, we are not given a total number of seats. We are only asked to round the quota for Brooklyn. Since we don't have a total number of seats, we can't apply the full Adams's method. But we can apply the rounding part of the method.

Step 4 :In Adams's method, quotas are always rounded down. So, we need to round down the quota for Brooklyn.

Step 5 :The quota for Brooklyn is 11.09. When we round down, we get 11.

Step 6 :Final Answer: The rounded quota for Brooklyn according to Adams's apportionment plan is \( \boxed{11} \).

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