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Chapter 3 - Percents

Chapter 3 - Percents. Percents - Definition. percent. per cent. out of for every. 100. Percents. 25%. 25. 100. 1. 4. Percents. 7% commission rate . You will earn $7 for every $100 of sales. 7. 100. Percents – Conversion to other Forms. 65%. Convert Percents to Decimals. 25%.

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Chapter 3 - Percents

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  1. Chapter 3 - Percents

  2. Percents - Definition percent per cent out of for every 100

  3. Percents 25% 25 100 1 4

  4. Percents • 7% commission rate. You will earn $7 for every $100 of sales. 7 100

  5. Percents – Conversion to other Forms 65%

  6. Convert Percents to Decimals 25% Convert a Percent to Decimal Form: 18% 18% . 1.25% .0125 2.01 201%

  7. Convert Decimals to Percents 50% Convert a Decimal to Percent Form: 0.38 % 0 38 . 0.004 0.4% 3 300%

  8. Practice - % to Decimal One More!!!

  9. Practice • Ch 3, Section 1 – Writing Decimals and Fractions as Percents Textbook Exercise 3.1 (pages 91 – 92) _____ #3 – 15 (odd numbered problems only) _____ #18 – 30 (odd numbered problems only) _____ #33 – 39 (odd numbered problems only)

  10. The Components of a Percent Problem

  11. Components B, P, R • Base • Part • Rate In the 12:30 Applied Math class, there are 22 students. 17 of them, or about 77%, are in the Welding Program.

  12. Components B, P, R • Base • Part • Rate Dave is a salesperson paid on a commission rate of 7%. Last week his weekly sales were $21,500, so he earned $1,505.

  13. Components B, P, R • Base • Part • Rate Part Rate Base 45 is 90% of 50.

  14. Practice • WORKSHEETS • _____ (Practice Set 3-2) Identify Part, Base, and Rate. • _____ (Practice Set 3-3) Identify Part, Base, and Rate in “Generic Problems”. • _____ (Practice Set 3-4) Identify the component (P, B, or R) that needs to be Solved.

  15. Solving Percent Problems

  16. Percent Formula One formula for everything: Part P Rate R = Base B 100

  17. Solve Percent Problems 1 of 3 20% of U.S. cars are blue. If there 135 cars in the Bldg 100 lot, how many are blue? 20 Part P Rate = 135 Base 100 135 x 20 = 2700 2700 ÷ 100 = 27 blue cars

  18. Solve Percent Problems 2 of 3 At a job interview, a machinist was given a basic skills test. His results were 30 correct out of 35 possible. What is his score expressed as a percent? Part Rate R 30 = 35 Base 100 30 x 100 = 3000 3000 ÷ 35 = 85.7% correct

  19. Solve Percent Problems 3 of 3 On a day when it snowed heavily, 33 people, which is 55% of a company’s total workforce made it to work on-time. What is the size of the company’s workforce? Part Rate 33 55 = B Base 100 33 x 100 = 3300 3300 ÷ 55 = 60 people

  20. Solve Percent Problems Generic 1 of 1 Rate Base Part 18% of what number is 900? Part Rate 18 900 = B Base 100 900 x 100 = 90,000 90,000 ÷ 18 = 5000

  21. Practice • WORKSHEET • _____(Practice Set 3-5) Introduction to Solving Percent Problems • (#1 – 30 odd numbered problems)

  22. Select Problems from Ch 3 Sections 2 through 4 Chapter 3 Percent

  23. Practice • Ch 3, Section 2 – Finding the Part Textbook Exercise 3.2 (pages 97 – 99) _____ #18, 19, 20, 29, 30, 31, 35 • Ch 3, Section 3 – Finding the Base Textbook Exercise 3.3 (pages 103 – 104) _____ #28, 30, 31, 34, 35 • Ch 3, Section 4 – Finding the Rate Textbook Exercise 3.4 (pages 109 – 110) _____ #22, 24, 25

  24. Ch 3 Section 2 #19 page 97 • 19.) iPhone priced at $399. Sales tax rate is 7.75%. Find the total purchase price. Total Purchase Price = $399 + $30.92 Part P Rate 7.75 = 399 Base 100 Total Purchase Price = $429.92 399 x 7.75 = 3092.25 3092.25 ÷ 100 = 30.9225 Tax = $30.92

  25. Ch 3 Section 3 #31 page 104 $266.50 • Jim’s income spending: • 28% housing • 15% food • 11% clothing • 15% transportation • 11% education • 7% recreation • The rest is savings. • If his savings are $266.50 per month, what is his monthly earnings? 100% - (28%+15%+11%+15%+11% +7%) 13% Part Rate 13 $266.50 = B Base 100 26,650 ÷ 13 = $2050 266.50 x 100 = 26,650

  26. Ch 3 Section 3 #34 page 104 • Nortel will be laying-off 4,000 employees which is 4% of their workforce. • How many workers will remain after the layoffs? 4,000 Part Rate 4 = B Base 100 4,000 x 100 = 400,000 400,000 ÷ 4 = 100,000 original workforce 100,000 – 4,000 = 96,000 remain

  27. Ch 3 Section 4 #25 page 110 • What percent of the total advertising budget is spent on radio advertising? Game Plan: In order to get RATE, I must know the PART and the BASE. Part Rate R 954 BASE: $2250$1425$954$1605$1950+ $2775 = Base 100 10,959 954 x 100 = 95,400 95,400 ÷ 10,959 = 8.7% (radio) $10,959

  28. Percent Change Percent Increase Percent Decrease

  29. Overview Sample Problem 1 • Gas Prices • Last Week: $3.68 • This Week: $3.75 What is the percent increase in the price of gas? 3.75 – 3.68 Amount of Increase ($) % Increase Part Rate 0.07 = Base 100 3.68 Original Value “(B)efore number” 1.9% Inc.

  30. Overview Sample Problem 2 • Work Truck: Miles Driven • Last Year: 28,900 miles • This Year: 23,150 miles What is the percent decrease in the miles driven? 28,900 – 23,150 Amount of Decrease (miles) % Decrease Part Rate 5,750 = 28,900 Base 100 Original Value “(B)efore number” 19.9% Dec.

  31. Percent Change P R = B 100 Amt of Change Percent Change P R = “Before”Number B 100

  32. Practice • WORKSHEET • _____ (Practice Set 3-6) Determine Percent Change

  33. Part II - Practice Test • Practice Test • Ch 3 Test (pages 127-128) _____ #1 – 20 (skip #17, 18 and 20) Scoring Criteria for Practice Test:

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