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Step 4: Write a mathematical equation. Step 5: Solve the equation. Round to the nearest cent. 158 Chapter 2 Linear Equations and Inequalities x 10.0421$429.952 x $17.198 x $17.20 The tax on the merchandise is $17.20. Step 6: Interpret the results. b. The total cost is found by: total cost cost of merchandise amount of tax Therefore the total cost is $429.95 $17.20 $447.15. Classroom Example: p. 161, Exercise 22 Answer 3. 37.5% of the men surveyed prefer basketball. In Example 2, we solve a problem in which the percent is unknown. Finding an Unknown Percent Example 2 A group of 240 college men were asked what intramural sport they most enjoyed playing. The results are in the graph. What percent of the men surveyed preferred tennis? Solution: Step 1: Read the problem. Let x represent the unknown percent (in decimal form). Step 2: Label the unknown. The problem can be rephrased as: 30 is what percent of 240? Step 3: Write a verbal model. x 30 240 Step 4: Write a mathematical equation. Step 5: Solve the equation. Divide both sides by 240. Step 6: Interpret the results. Change the value of x to percent form by multiplying 30 240x 30 240 240x 240 0.125 x 0.125 100% 12.5% In this survey, 12.5% of men prefer tennis. by 100%. Skill Practice Refer to the graph in Example 2. 3. What percent of the men surveyed prefer basketball as their favorite intramural sport? Football 60 Tennis 30 Baseball 40 Soccer 20 Basketball 90 Avoiding Mistakes Be sure to use the decimal form of a percentage within an equation. 4% 0.04


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