Question
Jenna, Tatiana, and Nina have decided to share their Halloween candy. They randomly split all of their candy into three bowls. Each of them places
Jenna, Tatiana, and Nina have decided to share their Halloween candy. They randomly split all of their candy into three bowls. Each of them places a dierent total value on all of the candy combined, and each places a dierent value on the individual bowls. These values are shown below. Candy Total Value Bowl 1 Bowl 2 Bowl 3
Jenna $8 $4.50 $0.75 $2.75
Tatiana $4 $1.00 $1.00 $2.00
Nina $6 $1.75 $2.50 $1.75
1. (a) What is the minimum monetary value of a fair share for Jenna?
(b) List all of the bowls that Jenna would consider to be a fair share.
2. (a) What is the minimum monetary value of a fair share for Tatiana?
(b) List all of the bowls that Tatiana would consider to be a fair share.
3. (a) What is the minimum monetary value of a fair share for Nina?
(b) List all of the bowls that Nina would consider to be a fair share.
4. Which bowl should be given to each person to ensure that all three of them have a fair share?
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