Solved: Alex, Betty, and Cindy are sharing a cake. The cake had previously been divided

Chapter 3, Problem 8

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Alex, Betty, and Cindy are sharing a cake. The cake had previously been divided into three slices (s1, s2, and s3). Table 19 shows the values of s1 and s2 to each player expressed as a percent of the total value of the cake. (a) Which of the slices are fair shares to Alex? (b) Which of the slices are fair shares to Betty? (c) Which of the slices are fair shares to Cindy? (d) Find a fair division of the cake using s1, s2, and s3 as shares. If no such fair division is possible, explain why

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