Percent - XYZ Custom Plus

Introduction . . .Basic Percent ProblemsThe American Dietetic Association (ADA) recommends eating foods in which thenumber of calories from fat is less than 30% of the total number of calories. Foodsthat satisfy this requirement are considered healthy foods. Is the nutrition labelshown below from a food that the ADA would consider healthy? This is the typeof question we will be able to answer after we have worked through the examplesin this section.5.2ObjectivesA Solve the three types of percentproblems.B Solve percent problems involvingfood labels.C Solve percent problems usingproportions.Nutrition FactsServing Size 1/2 cup (65g)Servings Per Container: 8Amount Per ServingCalories 150Calories from fat 90% Daily Value*Total Fat 10g16%Saturated Fat 6g32%Cholesterol 35mg12%Sodium 30mg1%Total Carbohydrate 14g5%Dietary Fiber 0g0%Sugars 11gProtein 2gVitamin A 6% • Vitamin C 0%Calcium 6% •Iron 0%*Percent Daily Values are based on a 2,000calorie diet.Figure 1Nutrition label from vanilla ice creamThis section is concerned with three kinds of word problems that are associatedwith percents. Here is an example of each type:Type A: What number is 15% of 63?Type B: What percent of 42 is 21?Type C: 25 is 40% of what number?A Solving Percent Problems Using EquationsThe first method we use to solve all three types of problems involves translatingthe sentences into equations and then solving the equations. The following translationsare used to write the sentences as equations:Instructor NoteThe problems in this section are thebasis for all the application problemsthat follow in this chapter. I usethis method of solving percent problemsbecause it is more algebraic innature than other methods.Englishmathematicsis =of⋅ (multiply)a numbernwhat numbernwhat percentnThe word is always translates to an = sign. The word of almost always meansmultiply. The number we are looking for can be represented with a letter, such asn or x.5.2 Basic Percent Problems313