4 Solve Applied Problems Using Unit Analysis Unit analysis can be used to solve many different types of applied problems. We will use the steps for solving applied problems that we fi rst learned in Section 2.7. Larry is a chef, and his company is catering a large party. One batch of cheese fondue uses 3 4 cup heavy cream. If he needs to make 12 times that amount of cheese fondue, how many quarts of heavy cream does he need? Solution Step 1: Read the problem carefully, and restate it in your own words. One batch of cheese fondue uses 3 4 c heavy cream. We must determine the number of quarts of heavy cream needed to make 12 batches of fondue. Step 2: Make a plan. Let’s underline important words in our restatement of the problem in Step 1. Plan: First, multiply 3 4 c by 12 to determine the number of cups of heavy cream needed. Then, change the number of cups to quarts. Step 3: Solve the problem. Total cups of heavy cream needed: 3 4 c 12 3 4 c 12 1 9 c Change 9 cups to quarts: This unit fraction changes cups to pints. 9 c 1 1 pt 2 c 1 qt 2 pt Divide out the correct units. This unit fraction changes pints to quarts. 9 qt 4 9 4 qt 2 1 4 qt Step 4: State the answer in a complete sentence. Larry needs 2 1 4 qt heavy cream for the cheese fondue. Step 5: Check the answer. Work backward. Change quarts to cups, then divide by 12. 2 1 4 qt 9 4 qt Change the mixed number to a fraction. 9 4 qt 2 pt 1 qt 2 c 1 pt Divide out the correct factors and units. 9 c EXAMPLE 7 440 CHAPTER 7 Measurement and Conversion www.mhhe.com/messersmith
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