Presentation on theme: "Applications of Percents"— Presentation transcript:
1 Applications of Percents 6-6Applications of PercentsCourse 3Warm UpProblem of the DayLesson Presentation
2 Warm UpEstimate.1. 20% of 602out of 2643. 151% of 78out of 0.95Possible answers:12050%12030%
3 Problem of the DayA 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.
6 Car salespeople often work for commission Car 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 = c commission rate sales = commission
8 Additional Example 1 Continued 0.04 65,000 = c Change the percent to a decimal.2600 = c Solve for c.He earned a commission of $2600 on the sale.Now find his total pay for last month.$ $900 = $ commission + salary = total pay.His total pay for last month was $3500.
9 Check It Out: Example 1A 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 = c Change the percent to a decimal.2500 = c Solve for c.The agent earned a commission of $2500 on the sale.Now find her total pay for last month.$ $700 = $ 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 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 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?CD: 2 at $ $33.98DVD: 1 at $ $36.29$70.27 Total Price = 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 2Amy rents a hotel for $45 per night. She rents 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 = $ Write the tax rate as a decimal and multiply by the total price.Amy spent $11.70 on sales tax.
14 Additional Example 3: Using Proportions to Find the Percent of Earnings Anna earns $1500 monthly. Of that, $ 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?114.751500n100=Set up a proportion.n 1500 = 100 Find the cross products.
15 Additional Example 3 Continued 1500n = 11, Divide both sides by 1500.11,4751500n=n = 7.65Simplify.7.65% of Anna’s earnings is withheld for Social Security and Medicare.
16 Check It Out: Example 3BJ 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?5002500n100=Set up a proportion.n 2500 = 100 500 Find the cross products.
17 Check It Out: Example 3 Continued 2500n = 50, Divide both sides by 2500.500002500n=n = 20Simplify.20% of BJ’s earnings are withheld for income tax.
18 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 sales960 = 0.12 s Set up an equation.9600.12= s Divide each side by 0.12.8000 = sSimplify.The associate’s sales in May were $8000.
19 Check It Out: Example 4A 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 sales770 = 0.07 s Set up an equation.7700.07= s Divide each side by 0.07.11,000 = sSimplify.The associate’s sales in May were $11,000.
20 Lesson Quiz: Part 11. 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?$$21.1511.3%
21 Lesson Quiz: Part 24. If you earn a 4% commission, how much would your total sales have to be to make a commission of $115?$2875