1 / 47

Chapter 3 - Percents

Chapter 3 - Percents. Percents - Definition. percent. per cent. out of. for every. 100. Percents. 7% commission rate . For every $100 of sales, you will earn $7. Percents. 5.5% tax rate . For every $100 of merchandise that you buy, you will pay $5.50 in sales tax.

miach
Télécharger la présentation

Chapter 3 - Percents

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 3 - Percents

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

  3. Percents • 7% commission rate. • For every $100 of sales, you will earn $7.

  4. Percents • 5.5% tax rate. • For every $100 of merchandise that you buy, you will pay $5.50 in sales tax.

  5. Percents – Conversion to other Forms 65%

  6. Percents – Conversion to other Forms 4%

  7. Percent to Decimal Form 4% 0 4% .

  8. Rule - % to Decimal • To convert a percent to a decimal: • Remove the % symbol • Move the decimal point two positions to the left. 72% .

  9. Practice - % to Decimal • 13% • 2% • 120% = .13 = .02 = 1.20

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

  11. Rule – Decimal to % • To convert a decimal to a percent: • Move the decimal point two positions to the right. • Add the % symbol % 0 38 .

  12. Practice – Decimal to % • 0.55 • 0.004 • 2 = 55% = 0.4% = 200%

  13. The Components of a Percent Problem

  14. Components B, P, R • Base • Part • Rate In the Administrative Assistant Program at SWTC there are 18 students. 12 of them, or about 67%, reside in Grant County.

  15. 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.

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

  17. Solving Percent Problems

  18. P B R Percent Formulas • Part = Base x Rate • P = B x R • Base = Part  Rate • B = P  R • Rate = Part  Base • R = P  B

  19. P B R Solve Percent Problems 20% of the cars in the upper parking lot are blue. If there 135 cars in the lot, how many are blue? Part = ____ Part = Base x Rate Part = 135 x 20% Part = 135 x 0.20 Part = 27

  20. P B R Solve Percent Problems A person took the written portion of her driver’s test. She got 30 out of 35 correct. What is her score expressed as a percent? Rate = ____ Rate = Part  Base Rate = 30  35 Rate = 0.85714 Rate = 85.7%

  21. P B R Solve Percent Problems 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? Base = ____ Base = Part  Rate Base = 33  55% Base = 33  0.55 Base = 60

  22. Solve Generic Percent Problems

  23. P B R Solve Percent Problems 18% of what number is 900? Base = ____ Base = Part  Rate Base = 900  18% Base = 900  0.18 Base = 5000

  24. P B R Solve Percent Problems What percent of 40 is 30? Rate = ____ Rate = Part  Base Rate = 30  40 Rate = 0.75 Rate = 75%

  25. P B R Solve Percent Problems 22% of 650 is what number? Part = ____ Part = Base x Rate Part = 650 x 22% Part = 650 x 0.22 Part = 143

  26. Percent Change Chapter 3 Section 4

  27. Percent Change 1 of 3 • Example: Two weeks ago, the price of gas was about $2.92/gallon. Today it is $3.07/gallon. What is the percent increase in the price of gas? Rate = ? Amount of Increase $0.15 $3.07 – $2.92 Part = _________________ Original Price $2.92 Base = _________________

  28. Percent Change 2 of 3 • Last week a business had 447 paying customers. This week they had 521. What is the percent increase in the number of paying customers? Rate = ? Amount of Increase 521 – 447 74 Part = _________________ Original Amount 447 Base = _________________

  29. Percent Change 3 of 3 • Last year 235 registered voters participated in the local election. This year, 210 did. What is the percent decrease in the number of voters? Rate = ? 235 – 210 Amount of Decrease 25 Part = _________________ Original Amount 235 Base = _________________

  30. Percent Change One More! • Last week Jim mowed 16 yards. This week he mowed 6 more than the previous week. What is the percent increase in the number of yards he mowed? Rate = ? 6 Amount of Increase Part = _________________ Original Amount 16 Base = _________________

  31. Chapter 3 - Percents Increase and Decrease Problems

  32. Example • From the Wisconsin State Journal (July, 2007) • “Housing starts continued their downward slide last month in many Dane County communities with 89 reported countywide, down 19% from the 110 starts in July 2006.” 89 “starts” July 2007 19% decrease July 2006 110 “starts”

  33. 25% increase Sample Increase/Decrease Problems • The engine in the 2007 Chevy Impala is 305 hp. This is a 25% increase over last year’s most powerful Impala engine. • What was the hp rating of last year’s engine? This Year HP = 305 Last Year HP = _____

  34. 5% increase Sample Increase/Decrease Problems • This year my total revenue for my window cleaning business is $48,500. This is 5% higher than last year’s revenue. • What was my revenue last year? This Year Revenue = $48,500 Last Year Revenue = _____

  35. Solving Increase Problems

  36. Solution Method Increase • Last Year = ______ hp • This Year = 305 hp • This is a 25% increase in hp. 100% 25% 125% Original Value + Increase = New Value Part 305 ??? Base

  37. Solution Method Increase • Last Year’s Revenue = ______ • This Year’s Revenue = $48,500 • This is a 5% increase in earnings. 100% 5% 105% Original Value + Increase = New Value Part $48,500 ??? Base

  38. Solving Decrease Problems

  39. Sample Problems • Hometown Restaurant had sales of $12,800 this month. This is a 35% drop in sales compared to the same time last year. Determine the restaurant’s sales at this time last year?

  40. Solution Method Decrease • Sales This Month = $12,800 • Sales for this month 1 year ago = ______ • This is a 35% drop in sales 100% 35% 65% Original Value - Decrease = New Value Part $12,800 ??? Base

  41. Sample Problem • Textbook Page 126, #15 • Sara Lee Company: $230 million this quarter in revenues, which is a 25% decrease from the last quarter. What were the company’s earnings last quarter?

  42. Solution Method Decrease • Earnings This Quarter = $230 million • Earning Last Quarter = ______ • This is a 25% drop in sales 100% 25% 75% Original Value - Decrease = New Value Part $230 million ??? Base

  43. Challenge Problems

  44. Problem 13, page 126 • Restaurant charges 8% sales tax on all orders. Total sales for a day are $1026 including tax. • a) What were the sales w/out tax? • b) Find the amount that is sales tax. Sales + Tax = Grand Total Sales = $950 Tax = $76

  45. Problem 18, page 126 • WallPaper Plus: Sales have increased 20% for each of the past two years. This year’s sales are $170,035.20. Find her sales two years ago. Last Year Sales + Increase = This Year Sales Last Year = $141,696 2 years ago = $118,080

  46. Problem 3, Page 127 • Three day auction; Day 1 $5750 in sales, Day 2 $4186 in sales, with 28% of the original equipment remaining to be sold on Day 3. Determine the value of the remaining equipment. Original Amt. of Equip – Amt. Sold = Amt. Remaining Original Amt. of Equip = $13,800 Amt. Remaining = $3864

  47. Problem 4, Page 127 • Student spent $3450 for tuition and $4350 for dorm fees. 35% of his original savings are left. • Determine the amount of savings he still has left. Original Amt. of Money – Amt. Spent = Amt. Left Orig. Amt of $ = $12,000 Amt. Left = $4,200

More Related