Name Class CHAPTER 3 Date Problem Solving Connections Welcome Back! Elizabeth is an event planner who has been hired to plan a class reunion. The class has 275 people and 256 will be attending. Elizabeth must plan the seating, decorations, and food. She then needs to determine how much to charge each guest so that all costs are covered. CC.6.NS.1 CC.6.NS.2 CC.6.NS.3 CC.6.NS.4 1 Seating The cost sheet shows the types of tables available, the cost per table, and the cost per tablecloth. A How many round tables would be necessary to seat all of the guests? © Houghton Mifflin Harcourt Publishing Company Type of Table Seats Cost per Cost per Table ($) Tablecloth ($) Round 8 5.00 3.75 Rectangular 12 7.50 4.35 B How many rectangular tables would be necessary to seat all of the guests? C Which table, round or rectangular, would be cheaper for the reunion? How much cheaper? D A name card will be placed at each seat. Elizabeth finds that 36 name cards come in a package. How many packages will she need? Explain. Chapter 3 139 Problem Solving Connections 2 Decorations and Favors The school colors are blue and white. Elizabeth bought 84 blue balloons for $10.92. What is the cost per balloon? B Elizabeth wants to make balloon bouquets that each have 7 blue balloons and 8 white balloons. If the price per balloon is the same for both colors of balloons, will $20 buy enough balloons for 12 bouquets? Explain. C Elizabeth has 87.75 feet of banner paper. How many banners can she make that are 11.25 feet long? Explain. D Elizabeth plans to hand out door prizes as the guests arrive. Every 6th guest will receive a mug, and every 14th guest will receive a T-shirt. How many mugs and T-shirts should Elizabeth order? E Elizabeth has two 8.5-pound bags of mints. She plans to put 0.5 pound on each rectangular table. Does she have enough mints? Chapter 3 140 Problem Solving Connections © Houghton Mifflin Harcourt Publishing Company A 3 Food and Drink © Houghton Mifflin Harcourt Publishing Company A Use the price sheet to find the total cost of a basic meal of one meat and one side for each guest. Meal Options Price per Plate ($) 1 meat, 1 side 9.25 2 meats, 1 side 10.25 Additional sides 0.75 Salad 1.45 B How would you determine how much more it would cost to serve each guest a salad rather than an additional side? C Elizabeth has budgeted $3,000 for food. If she decides to serve an additional side and a salad, can she choose the meal with two meats and stay within her budget? D Elizabeth purchases a container of punch mix that, when mixed with water, makes 640 ounces of punch. Elizabeth has 8-ounce drinking glasses. She assumes that each person will drink 2 glasses of punch. Show how to determine how many people can be served with one container of punch. Chapter 3 141 Problem Solving Connections 4 Answer the Question A Elizabeth’s budget for the class reunion is shown. Help her complete the budget using some of your answers from previous questions. You may also have to perform additional computations. Class Reunion Budget Item Number of Items/Packages Cost per Item Rectangular tables $11.85 Name cards $5.10 Balloons $0.13 Sign $25.25 1 T-shirts $7.50 Mugs $5.00 Mints $5.50 Meals Total Cost $11.45 256 $4.25 Punch Pie 16 $6.75 Cake 7 $12.00 $1,800.00 Elizabeth’s Fee B Based on your total cost, determine the amount each guest should pay to attend the reunion. Would $20 per person be enough to cover all of the expenses? Explain. How much would you charge? Justify your answer. Chapter 3 142 Problem Solving Connections © Houghton Mifflin Harcourt Publishing Company Total Cost
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