Suppose that there were 10 candy bars in a box. Given that Bob did homework for

Question

Suppose that there were 10 candy bars in a box. Given that Bob did homework for a total of 54 minutes, Peter did homework for a total of 243 minutes, and Rong did homework for a total of 703 minutes. If their mother decides to apportion the candy ban: to the 3 children using Hamilton's method, how many will each get? b. If the mother finds another candy bar and will actually apportion 11 to the children, how many will each get using Hamilton's method? c. What paradox of Hamilton's method does this illustrate?

Explanation / Answer

a)total time spend on homework=243+703+54=1000

standard divisor=1000/10=100

to avoid surplus take divisor to be 87. so bob got 54/87=0,peter got 243/87=2 and rong got 703/87=8 candies

b)1000/11=90.9. taking divisor to be 81, bob gets 54/81=0, peter gets 243/81=3 and rong gets 703/81=8 candies

c)this illustrates the new state paradox

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