Explanation Given information: Chemistry is taught at five high schools in the Santa Rosa Unified School District. The district has received a grant of 100 microscopes which are to be apportioned to the five high schools based on each school’s chemistry population. Use the following data: School # Students # Chemistry Students Elsie Allen 1 , 524 90 Maria Carrillo 1 , 687 215 Montgomery 1 , 755 268 Piner 1 , 519 133 Santa Rosa 1 , 797 84 TOTAL 8 , 282 790 The number of microscopes is 100 . Formula used: STANDARD DIVISOR = TOTAL POPULATION NUMBER OF SHARES STANDARD QUOTA = TOTAL POPULATION STANDARD DIVISOR Calculation: In Adams’ plan, use the following steps. Step-1: Calculate the standard divisor ( d ) Step-2: Calculate the standard quota ( q ) for each school. Step-3: Round the standard quota up and add these quotas to find the total number of microscopes. It will be correct or it will be too large. Step-3: If it is too large, raise the standard divisor in small increments until the rounded quotas provide the appropriate total. Given number of microscopes is 100 . Total chemistry students in five high schools are 790 . Suppose standard divisor is denoted by d . Substitute the values of the total population of chemistry students and number of microscopes in the formula of the standard divisor d , d = 790 100 = 7.9 Therefore, the standard divisor is d = 7.9 . Divide the chemistry population of each school by standard divisor ( d ) to find the standard quota ( q ) and round the standard quota up to get upper quota. School # Chemistry Students Standard quota ( q ) Upper quota Elsie Allen 90 90 7.9 ≈ 11.39 12 Maria Carrillo 215 215 7.9 ≈ 27.22 28 Montgomery 268 268 7

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ISBN: 9781285697734

Author: karl J. smith

Publisher: Cengage Learning US

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Chapter 17.CR, Problem 14CR

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Adams’ apportionment plan if the district received a grant of 100 microscopes which are to be distributed to the five high schools based on the number of chemistry students.

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Adams’ apportionment plan if the district received a grant of 100 microscopes which are to be distributed to the five high schools based on the number of chemistry students.

Solution Summary: The author explains the Santa Rosa Unified School District's apportionment plan and the number of microscopes.

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Adams’ apportionment plan if the district received a grant of 100 microscopes which are to be distributed to the five high schools based on the number of chemistry students.

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