David and Max purchased raffle tickets together and, to their surprise, won three prizes. Now they must make a fair division of their winnings. If David and Max use the adjusted winner procedure, how many points of value will each person think they end up with? $$\begin{array} { l l l }
\text { Object } & \text { David's points } & \text { Max's points } \
\text { Fly rod } & 50 & 45 \
\text { Fly-fishing lessons } & 10 & 35 \
100 \text { hand-tied flies } & 40 & 20
\end{array}$$
A) 50
B) 61
C) 73
D) 100

Question

David and Max purchased raffle tickets together and, to their surprise, won three prizes. Now they must make a fair division of their winnings. If David and Max use the adjusted winner procedure, how many points of value will each person think they end up with? $$\begin{array} { l l l } 
\text { Object } & \text { David's points } & \text { Max's points } \
\text { Fly rod } & 50 & 45 \
\text { Fly-fishing lessons } & 10 & 35 \
100 \text { hand-tied flies } & 40 & 20
\end{array}$$
A) 50
B) 61
C) 73
D) 100

Quizplus · Accepted Answer

The adjusted winner procedure involves adding up the points that each person received for each prize, and then dividing those points equally among the two people. In this case, David received a total of 100 points (50 + 10 + 40) and Max received a total of 100 points (45 + 35 + 20). Dividing 200 points equally between two people gives each person 100 points. Therefore, both David and Max will think they ended up with 61 points, since that is the average of the points they received for each prize.

David and Max Purchased Raffle Tickets Together And, to Their