3.3+Sharing+Pizza+-+0910

AD 11/25/09

Big Idea: Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them Essential Question: What methods are there for comparing things?

3.2 Sharing Pizza 

A.   If the pizzas at a table are shared equally by everyone at the table, will a person sitting at a small table get the same amount of pizza as a person sitting at a large table? Explain your reasoning.

The campers sitting at the table of eight get less pizza than the campers sitting at a table of ten. The percentage of pizza you get is 37.5 percent if you at the table with eight seats but at the table with ten seats you get 40 percent of the pizza. 3 pizzas/8 seats = 0.375*100 = 37.5% 4 pizzas/10 seats = 0.4 * 100 = 40%

 B.   The ratio of large tables to small tables in the dining room is 8 to 5. There are exactly enough seats for the 240 campers. How many tables of each kind there are?

There would need to be 16, 10 seated tables and 10, 8 seated tables. 16 large tables * 10 = 160 10 small tables* 8 = 80 160 + 80 = 240 160 tables in all

Problem 3.3 Follow-Up  1. How were ratios helpful in thinking about the problem? Ratios are helpful for finding patterns and percents in this problem.  2. How many pizzas will the cook need to order to out four on each large table and three on each small table? In order for there to be enough pizza on each table the cook will need to make 94 pizzas