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Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. Warm Up Estimate. 1. 20% of 602 2. 133 out of 264 3. 151% of 78 4. 0.28 out of 0.95. Possible answers:. 120. 50%. 120. 30%. Problem of the Day

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Warm Up

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. Warm Up Estimate. 1.20% of 602 2. 133 out of 264 3. 151% of 78 4. 0.28 out of 0.95 Possible answers: 120 50% 120 30%

  3. Problem of the Day A clothing outlet has a storewide clearance of 10% off all items. In addition, there is a “buy two, get one free” sale on a set of shirts of equal price. What is the total percent price reduction if you buy 3 shirts? 40%

  4. Learn to find commission, sales tax, and percent of earnings.

  5. Vocabulary commission commission rate

  6. Salespeople often work for commission. A commission is a fee paid to a person who makes a sale. It is usually a percent of the selling price. This percent is called the commission rate. Often salespeople are paid a commission plus a regular salary. The total pay is a percent of the sales they make plus a salary. commission ratesales = commission

  7. Additional Example 1: Multiplying by Percents to Find Commission Amounts A real-estate agent is paid a monthly salary of $900 plus commission. Last month he sold one condominium for $65,000, earning a 4% commission on the sale. How much was his commission? What was his total pay last month? First find his commission. 4%  $65,000 = ccommission rate sales = commission

  8. Additional Example 1 Continued 0.04  65,000 = cChange the percent to a decimal. 2600 = cSolve for c. He earned a commission of $2600 on the sale. Now find his total pay for last month. $2600 + $900 = $3500 commission + salary = total pay. His total pay for last month was $3500.

  9. Check It Out: Example 1 A car sales agent is paid a monthly salary of $700 plus commission. Last month she sold one sports car for $50,000, earning a 5% commission on the sale. How much was her commission? What was her total pay last month? First find her commission. 5%  $50,000 = c commission rate sales = commission

  10. Check It Out: Example 1 Continued 0.05  50,000 = cChange the percent to a decimal. 2500 = c Solve for c. The agent earned a commission of $2500 on the sale. Now find her total pay for last month. $2500 + $700 = $3200 commission + salary = total pay. Her total pay for last month was $3200.

  11. Sales tax is the tax on the sale of an item or service. It is a percent of the purchase price and is collected by the seller.

  12. CD: 2 at $16.99 $33.98 DVD: 1 at $36.29 $36.29 Additional Example 2: Multiplying by Percents to Find Sales Tax Amounts If the sales tax rate is 6.75%, how much tax would Adrian pay if he bought two CDs at $16.99 each and one DVD for $36.29? $70.27 Total Price 0.0675 70.27 = 4.743225 Write the tax rate as a decimal and multiply by the total price. Adrian would pay $4.74 in sales tax.

  13. Check It Out: Example 2 Amy stays in a hotel for $45 per night. She stays for two nights and pays a sales tax of 13%. How much tax did she pay? $45  2 = $90 Find the total price for the hotel stay. $90  0.13 = $11.70 Write the tax rate as a decimal and multiply by the total price. Amy spent $11.70 on sales tax.

  14. 114.75 n = 1500 100 Additional Example 3: Using Proportions to Find the Percent of Earnings Anna earns $1500 monthly. Of that, $114.75 is withheld for Social Security and Medicare. What percent of Anna’s earnings are withheld for Social Security and Medicare? Think: What percent of $1500 is $114.75? Set up a proportion. n 1500 = 100 114.75 Find the cross products.

  15. 11,475 n = 1500 Additional Example 3 Continued 1500n = 11,475 Divide both sides by 1500. n = 7.65 Simplify. 7.65% of Anna’s earnings is withheld for Social Security and Medicare.

  16. 500 n = 2500 100 Check It Out: Example 3 BJ earns $2500 monthly. Of that, $500 is withheld for income tax. What percent of BJ’s earnings are withheld for income tax? Think: What percent of $2500 is $500? Set up a proportion. n 2500 = 100 500 Find the cross products.

  17. 50000 n = 2500 Check It Out: Example 3 Continued 2500n = 50,000 Divide both sides by 2500. n = 20 Simplify. 20% of BJ’s earnings are withheld for income tax.

  18. = sDivide each side by 0.12. 960 0.12 Additional Example 4: Dividing by Percents to Find Total Sales A furniture sales associate earned $960 in commission in May. If his commission is 12% of sales, how much were his sales in May? Think: $960 is 12% of what number? Let s = total sales 960 = 0.12 sSet up an equation. 8000 = s Simplify. The associate’s sales in May were $8000.

  19. = sDivide each side by 0.07. 770 0.07 Check It Out: Example 4 A sales associate earned $770 in commission in May. If his commission is 7% of sales, how much were his sales in May? Think: $770 is 7% of what number? Let s represent total sales 770 = 0.07 sSet up an equation. Simplify. 11,000 = s The associate’s sales in May were $11,000.

  20. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  21. Lesson Quiz: Part I 1. Every month, Gillian makes $1600 plus an 8.9% commission on sales. If her sales last month totaled $18,400, what was her total pay? 2. The sales tax is 5.75%, and the shirt costs $20. What is the total cost of the shirt? 3. Sheridan has a yearly income of $39,650, and he is advised to invest $4500 every year. What percent of his income should he invest, to the nearest tenth of a percent? $3237.60 $21.15 11.3%

  22. Lesson Quiz: Part II 4. If you earn a 4% commission, how much would your total sales have to be to make a commission of $115? $2875

  23. Lesson Quiz for Student Response Systems 1. Vito works at a supermarket. He earns a weekly salary of $500 plus 5% commission on sales. His sales last week totaled $3600. What was his total pay last week? A. $525 B. $680 C.$725 D.$880

  24. Lesson Quiz for Student Response Systems 2. Arnold bought an MP3 player. If the sales tax is 8%, and the MP3 player costs $74, what is the total cost of the MP3 player? A. $86.25 B. $82.75 C.$79.92 D.$78.75

  25. Lesson Quiz for Student Response Systems 3. Marcus earns $30,000 yearly. Of that, he spends $3250 on clothes every year. What percent of his earnings are spent on clothes to the nearest tenth of a percent? A. 5.7% B. 7.4% C. 9.1% D.10.8%

  26. Lesson Quiz for Student Response Systems 4. Jim works in an automobile showroom. He earns 5% commission on the sale of a car. If he earned $1750 as commission, what is the price of the car? A. $35,000 B. $40,000 C. $42,000 D.$45,500

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