Concept explainers
Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares
a. Suppose that the choosers’ bid lists are
b. Suppose that the choosers’ bid lists are
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Chapter 3 Solutions
Excursions In Modern Mathematics, 9th Edition
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- A committee of fifteen people is having a meeting this afternoon. There are twenty one spaces to park but six are closed for renovation. The spaces are divided evenly in three different lots: L1, L2, 13, according to their distance to the meeting place. L1 being the closest and L3 the farthest. How many different ways can the people park their cars, assuming each person will park only one car and they prefer the closest lots? Oa. 2730 O b. 910 O. 1365 Od. 32.760arrow_forwardThree investors are dividing a piece of land worth $175,000. Each investor's value in thousands for each of the three pieces of the land is shown below. Which piece does each person receive and do they receive a fair share using the lone divider method? Piece B Marshall Sam Keisha Piece 1 46 25 35 C Od Piece 2 25 25 52.5 Marshall's bid: Piece 2 and Piece 3 Keisha's bid: Piece 3 70 87.5 b a Marshall receives Piece 2, Keisha receives 3, and Sam receives Piece 1. Everyone receives a fair share. Marshall receives Piece 3, Keisha receives 3, and Sam receives Piece 2. Everyone receives a fair share. Marshall receives Piece 2, Keisha receives 3, and Sam receives Piece 1. No one receives a fair share. Marshall receives Piece 2, Keisha receives 1, and Sam receives Piece 3. Everyone receives a fair share.arrow_forwardTim, Maia, Kelly, and Mark are dividing a cake among themselves using the lone-divider method. The divider divides the cake into four slices (s,, s, Sa. 84 Tim 20% 31% 29% 20% and s). The table on the right shows the values of Mala 25% 25% 25% 25% the slices to each player expressed as a percent of the total value of the cake. Complete parts (a) and Kelly 15% 14% 28% 43% Mark 24% 24% 24% 28% (b). (a) Who was the divider? The divider was (b) Find a fair division of the cake. Choose the correct answer below. O A. Tim gets s,; Maia gets s,; Kelly gets s: Mark gets s. O B. Tim gets s,; Maia gets s,; Kelly gets s; Mark gets s OC. Tim gets s; Maia gets s: Kelly gets s,; Mark gets s. O D. Tim gets s,; Maia gets s: Kelly gets s: Mark gets s. Click to select your answer. MacBook Air FI 4)) FVZ F6 F1C F4 F5 #3 24 & * 2 7 8. W Yarrow_forward
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- Three investors are dividing a piece of land worth $300,000. Each investor's value in thousands for each of the three pieces of the land is shown below. Which piece does each person receive? Do they receive a fair share using the lone divider method? Piece 1 Piece 2 Piece 3 Henry 80 100 120 Juan 100 100 100 Sarah 60 90 150 Henry's bid: Piece 2 and Piece 3 Sarah's bid: Piece 3 Henry receives Piece 2, Sarah receives 3, and Juan receives Piece 1. Everyone receives a fair share. a b Henry receives Piece 3, Sarah receives 3, and Juan receives Piece 2. Everyone receives a fair share. C Henry receives Piece 2, Sarah receives 3, and Juan receives Piece 1. No one receives a fair share. d Henry receives Piece 2, Sarah receives 1, and Juan receives Piece 3. Everyone receives a fair share. O O O Oarrow_forwardFour partners are dividing a piece of land worth $159,200 among themselves using the lone-divider method. The following table shows the value of the parcels in the eyes of each partner, but some of the entries are missing. S1 S2 S3 S4 John $47,760 $47,760 Jackie $47,760 $31,840 $47,760 Bill $39,800 $39,800 $39,800 Barb $31,840 $79,600 $31,840 John values S1 and S4 the same. What is this value? Group of answer choices $47,760 $39,800 $31,840 $23,880 Cannot be determined.arrow_forward4. April and Marsha want to share a large bag of skittles. There are 500 skittles in the bag. There are: • 200 red ones, • 200 green ones, and • 100 purple ones. Marsha values: • 200 red ones at a total of $4, 200 green ones at a total of $6, and 100 purple ones at a total of $5. April is the divider and in one half of the pile puts: • 90 red skittles • 85 green skittles • 75 purple skittles a.) What is a fair share for Marsha? | Show your work or explain your reasoning here: b.) What is the value of this half for Marsha? Fill in the chart below. Value to Marsha per piece Skittle color Total value of each color Red Green Purple c.) Is this value a fair share for Marsha? Please explain your answer. Write your response below:arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
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