This preview shows pages 1–3. Sign up to view the full content.
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.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document2.
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
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '07
 Berkowitz
 Math

Click to edit the document details