A school district has two high schools. The district could only afford to hire 13 guidance counselors. Determine how many counselors should be assigned to each school using Hamilton's method. School Students Enrolled Counselors to Assign Lowell 3584 Fairview 6816 The next year, a new school is opened, with 1824 students. Using the divisor from above, determine how many additional counselors should be hired for the new school: counselors.

Question

Mathematics

Jaxson Chaney

28 May, 21:33

A school district has two high schools. The district could only afford to hire 13 guidance counselors. Determine how many counselors should be assigned to each school using Hamilton's method. School Students Enrolled Counselors to Assign Lowell 3584 Fairview 6816 The next year, a new school is opened, with 1824 students. Using the divisor from above, determine how many additional counselors should be hired for the new school: counselors.

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Answers (1)

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Gerardo Hobbs · Answer 1

a)

Lowell: 4 counselors

Fairview: 9 counselors

b)

2 new counselors

Step-by-step explanation:

How many counselors should be assigned to each school using Hamilton's method?

Number of students

Lowell: 3584

Fairview: 6816

Total number of students: 10400

Divisor D = (Total number of students) / (number of counselors) = 10400/13 = 800

Temporal assignment

3584/800 = 4 + 0.48 = => 4 counselors for Lowell

6816/800 = 8 + 0.52 = => 8 counselors for Fairview

There is one counselor left. According to Hamilton's method she should be assigned to the school with the largest remainder, that is Fairview.

Final assignment

Lowell: 4 counselors

Fairview: 9 counselors

The next year, a new school is opened, with 1824 students. Using the divisor from above, determine how many additional counselors should be hired for the new school

1824/800 = 2 + 0.28

Two new counselors should be hired.