Task Sharing Pizza V3 Formatted

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Task Sharing Pizza V3 Formatted

  1. 1. SHARING PIZZA You are going to eat pizza with your friends. When you arrive you see that the restaurant has set up one large table that seats 10 people, and a small table that seats 8 people. The server places four pizzas on the large table and three pizzas on the small table. At each table, everyone shares the pizzas equally. Which table should you sit at if you are really hungry and want to eat as much pizza as possible? Solve in two different ways using reasoning. At least one solution should use a diagram. Explain your reasoning for each solution. Melissa said she found a “cool” way to solve the pizza problem without doing any calculating. She © 2008, University of Michigan Adapted from Comparing and Scaling, Connected Mathematics Project, Prentice Hall
  2. 2. used a diagram as shown below. Does her strategy work? Is it mathematically sound? If so, why? If not, why not? QuickTimeª and a TIFF (Uncompressed) decompressor are needed to see this picture. QuickTimeª and a TIFF (Uncompressed) decompressor are needed to see this picture. Use Melissa’s strategy as a way to begin solving the pizza problem. Build on Melissa’s strategy to determine the table with the most pizza for each person. © 2008, University of Michigan Adapted from Comparing and Scaling, Connected Mathematics Project, Prentice Hall

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