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Percents and Equations

Pages 323–325 Exercises. 1. 25.42 2. 1.4 3. 11.4 4. 400.5 5. 4.32 6. 187.52 7. $2.40 8. $.95. 9. $4.32 10. 70 11. 6.52 12. 445 13. 11.1 14. 390 15. 696 16. 87.5%. 17. 55.5% 18. 65% 19. 55% 20. 95% 21. $3,540

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Percents and Equations

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  1. Pages 323–325 Exercises 1. 25.42 2. 1.4 3. 11.4 4. 400.5 5. 4.32 6. 187.52 7. $2.40 8. $.95 9. $4.32 10. 70 11. 6.52 12. 445 13. 11.1 14. 390 15. 696 16. 87.5% 17. 55.5% 18. 65% 19. 55% 20. 95% 21. $3,540 22. Answers may vary. Sample: Multiply the number by 0.13 or multiply the number by . Percents and Equations COURSE 3 LESSON 6-4 13 100 6-4

  2. Percents and Equations COURSE 3 LESSON 6-4 31.p = 1.43 • 65 Write an equation. = 92.95 Multiply. 32. 0.022 = p • 5 Write an equation. p = 0.0044 Divide each side by 5. = 0.44% Write the decimal as a percent. 33.p = 0.00054 • 43  Write an equation. p = 0.23274 Multiply. 34. 860 = p • 16 Write an equation. p = 53.75 Divide each side by 16. = 5,375% Write the decimal as a percent. 35. 40.9% 36. 0.75(0.8x)(1.065) = P 23. $943.05 24. $939.46 25. $930.47 26. Check students’ work. 27. $2,650,000 28. about 53,772,000 households 29. about 37,403,000 households 30. about 23% 6-4

  3. Percent of Change COURSE 3 LESSON 6-5 (For help, go to Lesson 6-1.) Write each fraction as a percent. Round to the nearest tenth of a percent. 1. 2. 3. 4. 5.6. 9 8 6 22 4 15 27 150 11 3 84 60 6-5

  4. Percent of Change COURSE 3 LESSON 6-5 Solutions 1. = 1.125; 112.5% 2. = 0.27; 27.3% 3. = 0.26; 26.7% 4. = 3.6; 366.7% 5. = 0.18; 18.0% 6. = 1.4; 140.0% 9 8 6 22 4 15 27 150 11 3 84 60 6-5

  5. A house in Yardley was bought 15 years ago for $70,000. It was recently appraised at $150,000. What is the percent increase in value of this house?

  6. Percent of Change COURSE 3 LESSON 6-5 Amount of Change is r % of Original Amount 1. Find the amount of change 2. Write the “percent sentence” 3. Solve the percent problem using one equations or proportions. 6-5

  7. A house in Yardley was bought 15 years ago for $70,000. It was recently appraised at $150,000. What is the percent increase in value of this house? 150,000 – 70,000 = $80,000 (amt of change) $80,000 is what percent of $70,000 It is a 114.3% increase over the original price.

  8. Percent of Change COURSE 3 LESSON 6-5 Ten years ago, Max’s comic book was worth $2.50. Now it is worth $13. Find the percent of increase in value. amount of change = 13 – 2.50 = 10.50 10.50 is what percent of 2.50? The percent of increase in value is 420%. 6-5

  9. 8 ft 4 in. = 8 • 12 + 4 = 100 in. 9 ft 2 in. = 9 • 12 + 2 = 110 in. Write measures in the same units. Percent of Change COURSE 3 LESSON 6-5 Andre changed the height of his basketball hoop from 8 ft 4 in. to 9 ft 2 in. Find the percent of increase. amount of change = 110 – 100 = 10 10 is what percent of 100? The height of the basketball hoop increased by 10%. 6-5

  10. Percent of Change COURSE 3 LESSON 6-5 In 1980, the population of New Orleans was 557,927. In 1990, its population was 496,938. Find the percent of decrease. Round to the nearest tenth of a percent. amount of change = 557,927 – 496,938 = 60,989 60,989 is what percent of 557,927? The population decreased by about 10.9%. 6-5

  11. Homework Section 6-5 # 1-25 Odd

  12. Percent of Change COURSE 3 LESSON 6-5 Round to the nearest whole percent. 1. The population in Arthur County, Nebraska, dropped from 462 in 1990 to 444 in 2000. What was the percent of decrease? 2. Eighty-one people attended last year’s annual picnic, and 93 people attended this year’s picnic. What is the percent of increase? about 4% about 15% 6-5

  13. Manufacturer of “widgets” sells each one for $1.75 to a wholesaler. The wholesaler marks up the price 200% and then sells it to a distributor. The distributor marks up the price 250% and then sells it to a retail store. The retail store marks up the price 325%. What price tag is placed on the “widget” when it finally gets placed on the store shelf?

  14. Mark-up – The amount of money that is added to the price on an item for resale. Mark-up = ___% of price paid New price = price paid + mark-up Discount – The amount of money taken away from the price of an item. Discount = ____% of retail price Sale price = retail price – discount Discounts and Mark-ups

  15. Manufacturer of “widgets” sells each one for $1.75 to a wholesaler. The wholesaler marks up the price 200% and then sells it to a distributor. The distributor marks up the price 250% and then sells it to a retail store. The retail store marks up the price 325%. What price tag is placed on the “widget” when it finally gets placed on the store shelf?

  16. What is 200% of 1.75? m1 = 3.5 New price $5.25 What is 250% of 5.25? m2 = 13.13 New price $ 18.38 What is 325% of 18.38? m3 = 59.74 Retail price = $78.12 Solution to the example

  17. Section 6-6 # 1-29 odd homework

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