applications of percents 6-6 warm up warm up lesson presentation lesson presentation problem of the...

Applications of Percents6-6

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes


Warm UpEstimate.

1. 20% of 602

2. 133 out of 264

3. 151% of 78

4. 0.28 out of 0.95

120

50%

120

30%

Possible answers:


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%


MA.8.A.6.4 Perform operations on real numbers (including…percents…) using multi-step and real world problems.

Sunshine State Standards


Vocabulary

commissioncommission rate


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 ratecommission rate salessales = commissioncommission


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?

Additional Example 1: Multiplying by Percents to Find Commission Amounts

First find his commission.

4% $65,000 = c commission rate sales = commission


0.04 65,000 = c Change the percent to a decimal.

Additional Example 1 Continued

2600 = c Solve 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.


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?

Check It Out: Example 1

Commission = 5% of $50,000 = 0.05 • 50,000

total pay = $700 + $2500 = $3200

= $2500


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.


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?

Additional Example 2: Multiplying by Percents to Find Sales Tax Amounts

CD: 2 at $16.99 $33.98

DVD: 1 at $36.29 $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.



Amy rents a hotel room for $45 per night. She rents for two nights and pays a sales tax of 13%. How much tax did she pay?

2 nights at $45 = 2 45 = $90

0.13 90 = 11.70

Amy would pay $11.70 in sales tax.


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?

Additional Example 3: Using Proportions to Find the Percent of Earnings

Think: What percent of $1500 is $114.75?

Set up a proportion.114.75 1500

n100

=

n 1500 = 100 114.75 Find the cross products.


Additional Example 3 Continued

n = 7.65

7.65% of Anna’s earnings is withheld for Social Security and Medicare.

11,475 1500

n =

1500n = 11,475 Divide both sides by 1500.

Simplify.


Bill earns $2500 monthly. Of that, $500 is withheld for income tax. What percent of Bill’s earnings are withheld for income tax?


500 2500

n100

=

1 5

n100

=

n 5 = 10 1 5n = 100


Check It Out: Example 3 Continued

= 20

20% of Bill’s earnings are withheld for income tax.

100 5

n =


A furniture sales associate earned $960 in commission in May. If his commission is 12% of sales, how much were his sales in May?

Additional Example 4: Dividing by Percents to Find Total Sales

Think: $960 is 12% of what number?

Let s = total sales

960 = 0.12 s Set up an equation.

9600.12

= s Divide each side by 0.12.

8000 = s

The associate’s sales in May were $8000.

Simplify.


A sales associate earned $770 in commission in May. If her commission is 7% of sales, how much were her sales in May?


770 = 0.07 s

7700.07

= s

11,000 = s

She made sales of $11,000 in May.


Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems


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?

$21.15

$3237.60

11.3%


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


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



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



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%



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


applications of percents 6-6 warm up warm up lesson presentation lesson presentation problem of the...

Documents

commission slide

applications of percents

commission salary

total pay

sales tax rate

total price

sales tax amounts cd

ccommission rate sales