Math Problem Statement

AnneAnne​,

BessBess​,

and

CindyCindy

are roommates planning to move out of their apartment. They identify five major chores that need to be done before moving out and decide to use the method of sealed bids to reverse auction the chores. The accompanying table shows the bids that each roommate made for each chore. Describe the final outcome of the division​ (which chores are done by each roommate and how much each roommate pays or gets​ paid.)

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Part 1

Describe

AnneAnne​'s

part of the agreement. Select the correct choice below and fill in the answer​ box(es) within your choice.

​(Round to the nearest cent as​ needed.)

A.

AnneAnne

does no chores and gets

​$enter your response here.

B.

AnneAnne

does​ chore(s)

enter your response here

and

getsgets

​$enter your response here.

​(Use a comma to separate answers as​ needed.)

C.

AnneAnne

does​ chore(s)

enter your response here

and

payspays

​$enter your response here.

​(Use a comma to separate answers as​ needed.)

D.

AnneAnne

does no chores and pays

​$enter your response here.

Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.)input field 7input field 8input field 9input field 10input field 11input field 12)input field 13input field 14input field 15input field 16input field 17input field 18)Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.)input field 7input field 8input field 9input field 10input field 11input field 12)input field 13input field 14input field 15input field 16input field 17input field 18)Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.)input field 7input field 8input field 9input field 10input field 11input field 12)input field 13input field 14input field 15input field 16input field 17input field 18)Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.)

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Bid Table

AnneAnne

BessBess

CindyCindy

Chore 1

​$3030

​$2020

​$4040

Chore 2

​$1010

​$5050

​$2222

Chore 3

​$2020

​$3030

​$1515

Chore 4

​$2020

​$3030

​$1010

Chore 5

​$4040

​$2020

​$1515

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Math Problem Analysis

Mathematical Concepts

Reverse Auction
Fair Division
Sealed Bids
Bidding

Formulas

Fair Share = Total Bids / Number of Roommates
Payment = Fair Share - Value of Chores Assigned

Theorems

Fair Division Principle in Sealed Bids

Suitable Grade Level

Grades 9-12