Use the following information to answer the Questions
Tom and Sandy must make a fair division of three objects left by their great-aunt Sally. They have assigned points to the objects as shown below. $$\begin{array} { l c c }
\text { Object } & \text { Tom's points } & \text { Sandy's points } \
\text { Painting } & 40 & 30 \
\text { Jewelry } & 10 & 50 \
\text { Car } & 50 & 20
\end{array}$$
-Using the adjusted winner procedure, what does Tom end up with?
A) car and painting
B) car only
C) painting and 1/5 car
D) car and 3/7 painting

Question

Use the following information to answer the Questions
Tom and Sandy must make a fair division of three objects left by their great-aunt Sally. They have assigned points to the objects as shown below. $$\begin{array} { l c c } 
\text { Object } & \text { Tom's points } & \text { Sandy's points } \
\text { Painting } & 40 & 30 \
\text { Jewelry } & 10 & 50 \
\text { Car } & 50 & 20
\end{array}$$
-Using the adjusted winner procedure, what does Tom end up with?
A) car and painting
B) car only
C) painting and 1/5 car
D) car and 3/7 painting

Quizplus · Accepted Answer

- Step 1: Find the total points assigned to each person.
Tom's total points = 40 + 10 + 50 = 100
Sandy's total points = 30 + 50 + 20 = 100
- Step 2: Find the Adjusted Winner. 
The Adjusted Winner is the person who would win if the lowest valued object was removed and the points were recalculated.
- If the painting is removed, Tom's total points = 50 + 10 = 60 and Sandy's total points = 30 + 50 = 80. Sandy is the Adjusted Winner.
- If the jewelry is removed, Tom's total points = 40 + 50 = 90 and Sandy's total points = 30 + 20 = 50. Tom is the Adjusted Winner.
- If the car is removed, Tom's total points = 40 + 10 = 50 and Sandy's total points = 30 + 50 = 80. Sandy is the Adjusted Winner.
- Sandy is the Adjusted Winner twice, while Tom is the Adjusted Winner only once. According to the Adjusted Winner Procedure, Tom gets to choose two objects, while Sandy gets one object. 
- Tom chooses the car and 3/7 of the painting (totaling 50 + 3/7 * 40 = 70 points).
- Sandy gets the remaining 2/7 of the painting (totaling 2/7 * 40 = 20 points) and the jewelry (totaling 50 points).
Therefore, Tom ends up with the car and 3/7 of the painting, and Sandy gets the remaining objects. The answer is D).

Use the Following Information to Answer the Questions Tom and Sandy

Use the Following Information to Answer the Questions
Tom and Sandy