Warm Up

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Preview
Warm Up
California Standards
Lesson Presentation
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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
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(No Transcript)
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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. commission rate ? sales commission
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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
0.04 ? 65,000 c Change the percent to
a decimal.
2600 c Solve for c.
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Additional Example 1 Continued
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?
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.
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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
0.05 ? 50,000 c Change the percent to a
decimal.
2500 c Solve for c.
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Check It Out! Example 1 Continued
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?
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.
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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.
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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.
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Check It Out! Example 2
Amy reserves a hotel room 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.
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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 Annas 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.
1500n 11,475 Simplify.
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Additional Example 3 Continued
Anna earns 1500 monthly. Of that, 114.75 is
withheld for Social Security and Medicare. What
percent of Annas earnings are withheld for
Social Security and Medicare?
Divide both sides by 1500
n 7.65
Simplify.
7.65 of Annas earnings is withheld for Social
Security and Medicare.
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Check It Out! Example 3
BJ earns 2500 monthly. Of that, 500 is withheld
for income tax. What percent of BJs 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.
2500n 50,000 Simplify.
Divide both sides by 2500.
n 20
Simplify.
20 of BJs earnings are withheld for income tax.
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Additional Example 4A Finding Profit and Total
Sales
A furniture store earns 30 profit on all sales.
If total sales are 2790, what is the profit?
Think What is 30 of 2790?
x 0.30 ? 2790 Set up an equation.
x 837
Multiply.
The profit is 837.
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Additional Example 4B Finding Profit and Total
Sales
A furniture store earns 30 profit on all sales.
If the store earns 10,044, how much are the
total sales?
Think 10,044 is 30 of what number?
Let s total sales
10,044 0.30 ? s Set up an equation.
Simplify.
33,480 s
The total sales are 33,480.
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Check It Out! Example 4A
A retail store earns 40 profit on all sales. If
total sales are 3320, what is the profit?
Think What is 40 of 3320?
x 0.40 ? 3320 Set up an equation.
Multiply.
x 1328
The profit is 1328.
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Check It Out! Example 4B
A furniture store earns 40 profit on all sales.
If the store earns 5,680, how much are the total
sales?
Think 5,680 is 40 of what number?
Let s total sales
5,680 0.40 ? s Set up an equation.
Simplify.
14,200 s
The total sales are 14,200.
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Lesson Quiz
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
4. A grocery store earns 5 profit on all canned
goods. If the store sold 1635 of canned goods,
what was the profit?
81.75