Four heirs need to make a fair division of the property left in an estate. The objects and the point values assigned to them are given below. If the heirs want to use the trimming procedure, with the order Chris, Kelly, Dana, and Kim, would the house need to be sold? $\begin{array} { lccc}
\text { Object } & \text { Chris's points } & \text { Kelly's points } & \text { Dana's points } & \text { Kim's points } \
\text { House } & 20 & 25 & 18 & 25 \
\text { Car } & 10 & 12 & 10 & 5 \
\text { Painting } & 10 & 8 & 12 & 15 \
\text { Fumiture } & 5 & 10 & 10 & 5 \
\text { Money } & 55 & 45 & 50 & 50
\end{array}$

Question

Four heirs need to make a fair division of the property left in an estate. The objects and the point values assigned to them are given below. If the heirs want to use the trimming procedure, with the order Chris, Kelly, Dana, and Kim, would the house need to be sold? $\begin{array} { lccc} 
\text { Object } & \text { Chris's points } & \text { Kelly's points } & \text { Dana's points } & \text { Kim's points } \
\text { House } & 20 & 25 & 18 & 25 \
\text { Car } & 10 & 12 & 10 & 5 \
\text { Painting } & 10 & 8 & 12 & 15 \
\text { Fumiture } & 5 & 10 & 10 & 5 \
\text { Money } & 55 & 45 & 50 & 50
\end{array}$

Quizplus · Accepted Answer

Using the trimming procedure, we start by dividing the total points equally among the four heirs, which is 192/4 = 48. Then, for each object, we compare the points assigned to it with the average points (48) to determine if it will be trimmed or not. If the points assigned to an object are less than or equal to the average, it will not be trimmed and will be given to the heir who assigned the highest points to it. If the points assigned to an object are greater than the average, it needs to be trimmed.
For the house, the total points assigned are 88, which is greater than the average of 48, so it needs to be trimmed. Chris assigned the highest points to the house with 20, so he gets to keep the house after paying the other three heirs their share. Similarly, for the car, painting, and furniture, no trimming is needed, and each heir gets to keep the object they assigned the most points to. Finally, for the money, each heir gets their proportional share according to the total points assigned.
Therefore, the estate can be fairly divided without selling the house.

Four Heirs Need to Make a Fair Division of the Property