Chris and Terry must make a fair division of a stereo, television, and microwave. They place point values on the objects as shown below. Using the adjusted winner procedure, what does Terry receive? $$\begin{array} { l l l }
\text { Object } & \text { Chris's points Terry's point } \
\text { Stereo } & 25 & 45 \
\text { Television } & 60 & 35 \
\text { Microwave } & 15 & 20
\end{array}$$
A) stereo and 1/4 of microwave
B) microwave and 6/7 of television
C) stereo and 6/7 of microwave
D) stereo and microwave

Question

Chris and Terry must make a fair division of a stereo, television, and microwave. They place point values on the objects as shown below. Using the adjusted winner procedure, what does Terry receive? $$\begin{array} { l l l } 
\text { Object } & \text { Chris's points Terry's point } \
\text { Stereo } & 25 & 45 \
\text { Television } & 60 & 35 \
\text { Microwave } & 15 & 20
\end{array}$$
A) stereo and 1/4 of microwave
B) microwave and 6/7 of television
C) stereo and 6/7 of microwave
D) stereo and microwave

Quizplus · Accepted Answer

Using the adjusted winner procedure, we find that Terry's total points are $45+35+\frac{20}{7}=\frac{385}{7}$ and Chris's total points are $25+60+\frac{15}{7}=\frac{500}{7}$. Therefore, Terry should receive $\frac{\frac{385}{7}}{\frac{885}{14}}=\boxed{	extbf{(C) } 	ext{stereo and } \frac{6}{7} 	ext{ of microwave}}$ according to the adjusted winner procedure.

Chris and Terry Must Make a Fair Division of a Stereo