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Author Question: An organization helping to provide meals to city shelters for the homeless has a membership of 30 ... (Read 4427 times)

Shelles

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Question 1

An organization helping to provide meals to city shelters for the homeless has a membership of 100 volunteers. They are assigned among the four city areas A, B, C, and D in proportion to the number of people fed in the respective areas. The  numbers of people fed at the city shelters in each city area are shown in the following table.

                                       

Use Adams's method to extend the table and apportion the 100 volunteers among the city areas.

                     










Question 2

An organization helping to provide meals to city shelters for the homeless has a membership of 30 volunteers. They are assigned among the four city areas A, B, C, and D in proportion to the number of people fed in the respective areas. The  numbers of people fed at the city shelters in each city area are shown in the following table.

                                       

Use Webster's method to extend the table and apportion the 30 volunteers among the city areas.

                     










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Marked as best answer by Shelles on Feb 2, 2020

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<p><span class="a_bt">Answer 1</span></p><br /><img src="data:image/png;base64, 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" alt="" /><br/><br/><p><span class="a_bt">Answer 2</span></p><br /><img src="data:image/png;base64, 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" 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