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26 November, 23:40

A local gym instructor has a course load that allows her to teach eight classes. At an interest meeting, 8 people wanted high--impact aerobics, 64 wanted low--impact aerobics, 11 wanted jazzercise, and 31 wanted step exercise. Apportion the class load using the Hamilton Method.

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  1. 27 November, 01:12
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    The final curse load of the local gym instructor is this:

    High--impact aerobics = 1

    Low--impact aerobics = 4

    Jazzercise = 1

    Step exercise = 2

    Step-by-step explanation:

    1. Let's apportion the class load using the Hamilton method

    Number of classes the local gym instructor can teach = 8

    Total number of students that want to take a class = 114 (8 people wanted high--impact aerobics, 64 wanted low--impact aerobics, 11 wanted jazzercise, and 31 wanted step exercise)

    Standard divisor = 114/8 = 14.25

    Now, we can apportion the students in in Standard quotas, this way:

    High--impact aerobics = 8/14.25 = 0.5614

    Low--impact aerobics = 64/14.25 = 4.49

    Jazzercise = 11/14.25 = 0.7719

    Step exercise = 31/14.25 = 2.1754

    Now, we find the Minimum quota, just considering the whole number and don't taking into account the decimals, this way:

    High--impact aerobics = 0

    Low--impact aerobics = 4

    Jazzercise = 0

    Step exercise = 2

    As we can see we have 6 classes and there are 2 still pending. Those 2 goes to the classes with the highest decimal portion, in this case, Jazzercise. 7719 and High--impact aerobics with. 5614.

    The final course load is this:

    High--impact aerobics = 1

    Low--impact aerobics = 4

    Jazzercise = 1

    Step exercise = 2
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