The father of three kids encouraged his children to read by offering 25 silver dollars as a reward. He will use Hamilton’s method to apportion the dollars according to the number of hours in a year that the children read.
a. In one year, Josh read for 73 hours, Paula for 41, and Jack for 274. How will the silver dollars be apportioned?
b. The children decide to double check their calculations, and they find a couple of mistakes. It turns out that Josh actually read for 75 hours, Paula for 41, and Jack for 275. How will the silver dollars be reapportioned?
c. Compare the apportionments from parts (a) and (b). Describe what happened when the silver dollars were reapportioned. Did the population paradox occur?
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