This 9 c heavy cream is for 12 batches of cheese fondue. Divide 9 by 12 to determine how many cups of heavy cream are used for one batch. 9 c 12 9 12 c 3 4 c heavy cream This is the same as the amount stated in the original problem, so the answer is correct. YOU TRY 7 Julia’s frozen lemonade recipe uses 2 3 c orange juice. If she needs to make 6 times the amount of the recipe, how many quarts of orange juice will she need? Kate has to buy paprika at the grocery store. The label on the shelf for Brand A says that its unit cost is $1.79/oz. The label for Brand B says that the unit cost is $22.59/lb. Which is the better buy? Solution Step 1: Read the problem carefully, and restate it in your own words. Brand A costs $1.79/oz and Brand B costs $22.59/lb. We must determine which brand is the better buy. Step 2: Make a plan. Underline important words in our restatement of the problem in Step 1. The units on each unit cost must be the same in order to compare them. Therefore, we will change ounces to pounds in the unit cost of Brand A. Plan: Use unit analysis to change the units on $1.79/oz to dollars/lb. Then, compare the unit costs to determine which is the better buy. Step 3: Solve the problem. Unit cost of Brand A in dollars/lb: $1.79 oz 16 oz 1 lb $28.64 lb $28.64/lb The unit cost of Brand B is $22.59/lb. Step 4: State the answer in a complete sentence. Brand B is the better buy because it has the lower unit cost. Step 5: Check the answer. Work backward. The check is left to the student. EXAMPLE 8 Note We could have changed the units in the unit cost of Brand B from $22.59/lb to dollars/oz so that the units matched those of Brand A. www.mhhe.com/messersmith SECTION 7.1 Using U.S. Customary Measurements 441
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