Math 103 Section 11 Takehome Quiz for Chapter 3
3/11/11
Name____________________
You may use your notes or ask me questions. Assignment is due on Friday, March 25,
2011
5 points
1. Four friends (Joe, Tim, Sam, and Ron) have decided to divide up a multiflavored cake which
was
jointly purchased for $24 using the
LoneDivider Method
. The cake is divided into four
pieces
{
s
1,
s
2 ,
s
3 , and
s
4} . The following table gives the dollar value of each of the slices
according to each of the four friends.
Friend
s1
s2
s3
s4
Fair share
value
Fair shares
Joe
$8.00
$7.00
$4.00
$5.00
Tim
$6.00
$6.00
$6.00
$6.00
Sam
$5.50
$10.00
$4.50
$4.00
Ron
$5.50
$9.00
$3.50
$6.00
a. Complete the above table.
b. Which of the four friends is the
divider
?
How do you know this?
c. Find a fair division of the cake and explain why this is the only possible fair division.
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10 points
Martha and Nick jointly bought the giant 28 inch sub sandwich shown
above for $16. They plan to divide the sandwich fairly using the divider
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 Spring '07
 Berkowitz
 Math, Division, following table, Submarine sandwich, Ciabatta

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