Use the following information to answer the Questions
At the end of the lease on their apartment, Toni and Terry decide to rent separate places and so must make a fair division of the property they purchased together. The items to be divided and the point values each person places on them are given below. $$\begin{array} { l l l }
\text { Item } & \text { Toni's points } & \text { Terry's points } \
\text { CD player } & 15 & 20 \
\text { Sofa } & 30 & 25 \
\text { Microwave } & 20 & 25 \
\text { TV } & 35 & 30
\end{array}$$
-If Toni and Terry use the adjusted winner procedure to divide the property, who gets the microwave?
A) Toni
B) Terry

Question

Use the following information to answer the Questions
At the end of the lease on their apartment, Toni and Terry decide to rent separate places and so must make a fair division of the property they purchased together. The items to be divided and the point values each person places on them are given below. $$\begin{array} { l l l } 
\text { Item } & \text { Toni's points } & \text { Terry's points } \
\text { CD player } & 15 & 20 \
\text { Sofa } & 30 & 25 \
\text { Microwave } & 20 & 25 \
\text { TV } & 35 & 30
\end{array}$$
-If Toni and Terry use the adjusted winner procedure to divide the property, who gets the microwave?
A) Toni
B) Terry

Quizplus · Accepted Answer

Using the adjusted winner procedure, we add each person's points for all items and find a total score. Toni's total score is 80 (15 + 30 + 20 + 35) and Terry's total score is 100 (20 + 25 + 25 + 30). We then divide each item's point value by the total score and multiply by 100 to get the percentage of the total score attributed to that item. 
The CD player is worth 15/80 * 100 = 18.75% of the total score and is awarded to Terry since he has the higher percentage. The sofa is worth 30/80 * 100 = 37.5% of the total score and is awarded to Toni since she has the higher percentage. The microwave is worth 20/80 * 100 = 25% of the total score and is awarded to Terry since he has the higher percentage. The TV is worth 35/80 * 100 = 43.75% of the total score and is awarded to Terry since he has the higher percentage. Consequently, Terry gets the microwave.

Use the Following Information to Answer the Questions at the End

Use the Following Information to Answer the Questions
at the End