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muminat
4 years ago
7

A school district has two high schools. The district could only afford to hire 13 guidance counselors. Determine how many counse

lors 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.
Mathematics
1 answer:
Umnica [9.8K]4 years ago
6 0

Answer:

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

<u>Temporal assignment</u>

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.

<u>Final assignment</u>

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

<em>Two new counselors should be hired.</em>

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