Three players (Adam, Bob and Chad) are sharing a cake. Suppose that the cake is divided into three slices (s1, s2, s3). The percentages represent the value of the slice as a percent of the value of the entire cake. (A fair share would be 1/3 = 0.333 = 33.3% or greater.)

1. Which of the three slices are fair shares to Adam?
2. Which of the three slices are fair shares to Bob?
3. Which of the three slices are fair shares to Chad?
4. Find the fair division of the cake, using s1, s2and s3as fair shares. If this is not possible, explain why not.

Window 52 53 Adam 30% 50% 20% Bob 32% 36% 32% Chad 30% 35% 35%