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2. The jewelers are using the Selfridge-Conway Method to divide the stones. Dakota, the divider, starts by dividing the stones into three part: . Part A: 1 box of sapphires and 1 box of emeralds Part A . Part B: 0.5 boxes of sapphires and 1.5 boxes of emeralds Part B . Part C: 1.5 boxes of sapphires and 0.5 boxes of emeralds Part C What are the values of each part for each jeweler? Complete the following diagrams and table. (The work for Tara is done for you!) Dakota (divider) Tara (trimer) Charlotte (chooser) LLLLLLLLLLLI 10800 43200 = 54000 B 5400 43200 21600 70200 10800 5400 21600 37800 $162,000 $162,000 $162,000 Dakota Tara Charlotte Part A 1 box of sapphires, 1(10800) + 1(43200) 1 box of emeralds = $54,000 Part B 0.5 boxes of sapphires, 0.5(10800) + 1.5(43200) 1.5 boxes of emeralds = $70,200 Part C 1.5 boxes of sapphires, 0.5(10800) + 1.5(43200) 0.5 boxes of emeralds = $70,200 3. Dakota gives the stones to Tara, the trimmer. Tara identifies Part B as the largest followed by Part A. These two parts are not worth the same to Tara, so she trims Part B: Part B* consists of - box of sapphires and - boxes of emeralds so that Parts B* and A are tied at $54,000. The trimming T consists of - boxes of sapphires and - boxes of emeralds. Tara (trimer) A A 10800 = 54000 10800 13200 = 54000 10800 43200 43200 = 54000 equal two most valuable parts value B 5400 43200 21600 = 70200 B* 3600- 43200 50400 B 5400 + 43200 21600 70200 C | 10800| +| 5400 | + 21600 = 37800 = 16200 set $162,000 1800 aside 68