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3-9 Weighted Averages Turn to P. 171. Read the passage at the top of the page. Working with your group, answer the following questions: 1. How would you find the unweighted average of the two scores? 2. What is the unweighted average of the two scores? 3. How is the weighted average similar to adding another score? 4. Did the weighted average help or hurt Kulik’s score? Would this always be the case? How are mixture and uniform motion problems solved? The activator is an example of a weighted average. Weighted average – the sum of the product of the number of units and the value per unit divided by the sum of the number of units, represented by M. Mixture problems – problems in which two or more parts are combined into a whole. Mixture problems are solved using weighted averages. Set up a table to solve the following problems. Jeri likes to feed her cat gourmet cat food that costs $1.75 per pound. However, food at that price is too expensive so she combines it with cheaper cat food that costs only $0.50 per pound. How many pounds of cheaper food should Jeri buy to go with 5 pounds of gourmet food, if she wants the average price to be $1.00 per pound? Wes is mixing peanuts and chocolate pieces. Peanuts sell for $4.50 a pound and the chocolate sells for $6.50 a pound. How many pounds of chocolate mixes with 5 pounds of peanuts to obtain a mixture that sells for $5.25 a pound? An advertisement for grape drink claims that the drink contains 10% grape juice. How much pure grape juice would have to be added to 5 quarts of the drink to obtain a mixture containing 40% grape juice? In Mrs. Smith’s class a test is worth four times as much as homework. If a student has an average of 85% on tests and 95% on homework, what is the student’s average? Mr. Pete’s Market has two kinds of nuts. Pecans sell for $1.55 per pound and walnuts sell for $1.95 per pound. How many pounds of walnuts must be added to 15 pounds of pecans to make a mixture that sells for $1.75 per pound? Famous Amos Cookie Company sells chocolate chip cookies for $6.95 per pound and white chocolate cookies for $5.95 per pound. How many pounds of chocolate chip cookies should be mixed with 4 pounds of white chocolate cookies to obtain a mixture that sells for $6.75 per pound?
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