The document discusses using percentages and equations to solve percent problems. It provides examples of finding the percent, part, or whole given information about two of the quantities. It also gives examples of writing and solving equations to determine commission earned from sales, royalty amounts, and results of a survey where the part and percent are known.

1. Chapter 6, Section 6: Percents and Equations Warm Up: Write each percent as a decimal 48% 5% 23.8% 72.25% 136% 178.5% 0.48 0.05 0.238 .7225 1.36 1.785

2. Writing and Solving Percent Equations Solve a Percent problem by writing and solving an equation. When you use a percent in an equation, write it as a decimal.

3. Finding The Percent What Percent Of 40 is 6? N • 40 = 6 N = 6 /40 N = 0.15 N = 15% Equation The unknown is the percent TIMES the whole. 6 is the percentage of the whole. OF = Whole IS = Part Multiply the percent (as a decimal) by the whole to get the part .

4. Finding the Part What is 15% of 40? N = 0.15 • 40 N = 0.15 • 40 N = 6 6 is 15% of 40 Equation The unknown is 15% of 40. 6 is the PART of 40 40 is the whole. OF = Whole IS = Part Whole x Percentage = Part

5. Finding the Whole 6 is 15% of what? 6 = .15 • N 6/.15 = N 40 = N 6 is 15% of 40 Equation The unknown is the whole here. 6 is 15% of a whole that we don’t know. OF = Whole IS = Part Whole x Percentage = Part

6. What is 85% of 62? 1 st : What are we looking for? Percent, Part, or Whole? 2 nd : Looking for Part: Write an equation, with the Percent as a Decimal. N = .85 • 62 Simplify: N = 52.7 85% of 62 is 52.7 (52.7 = Part of 62)

7. This Works For Percentages Greater Than 100 As All. What percent of 48 is 54? What are we looking for? Write an Equation. N • 48 = 54 Simplify: N = 54/48 = 1.125 Move the Decimal point 2 times. N = 112.5%

8. Write an Equation and Solve It What is 45.5% of 20? 380 is 125% of what number? N = 0.455 • 20, N = 9.1 380 = 1.25 • N , N = 304

9. Using Equations to Solve Percent Problems Commission : The amount of money a job pays you based on how much you sell. REAL LIFE FOLKS! Hint: Commission is the part, so what number is the whole?

10. Real Estate Game of Life A real estate agent makes a 4.5% commission on property she sells. How much does she make on the sale of a house for $245,000? 1 st : Percent, Part or Whole? 2 nd : Write an Equation. 3 rd : Simplify and Solve. Amount of Commission IS 4.5% OF $245,000 C Commission = .045 X $245,000 Commission, C = $11,025.00

11. Elvis Lives! If Elvis was alive when CDs were invented he would receives 5% of royalty on each CD sale. To the nearest cent, find Elvis’s royalty for each CD that sells for $16.99. The Elvis makes $0.85 off of each CD sale.

12. Peanut Butter In a survey, 922 people, or about 68.6%, preferred smooth peanut butter to chunky. How many people were surveyed? 1,344 people were surveyed. Remember: Part = Whole x Percentage

13. Assignment #22 Page 313-314: 5-28 all. www.phschool.com Code: awe-0606