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Finding Percent

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**Think of percent as being the part of a whole**

% = Part x 100 Whole Divide the part by the whole. This will give you a decimal. Then convert to a percent by either: 1. Multiplying the decimal by Moving the decimal 2 places to the right

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**Example: Leeds has a total of 390 students**

Example: Leeds has a total of 390 students. 125 of them attended the football game. What percent attended the game? Percent = Part = 125 Whole 390 = convert to a percent = 32.05%

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**We have 16 students in the class. 14 of the students are seniors.**

What percent of the class is seniors Percent = Part = 14 Whole 16 = Convert to a percent = 87.5%

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**During basketball season, James attempted 70 shots and made 28 of them.**

What percent of the shots did he make? Percent = Part = 28 Whole 70 = 0.4 Convert to a percent = 40%

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Classwork Page 428, #35-41

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Percent Increase Percents are often used for comparing changes, such as increases or decreases in sales, population, or production Percent Increase = Amount of Change Original Amount

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**Example Find the percent change from 120 to 165**

Original amount is 120; The amount of change is = 45 Percent change = 45 = = 37.5% 120

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**Last year, Leeds had an enrollment of 386 students**

Last year, Leeds had an enrollment of 386 students. This year the enrollment is What is the percent increase?

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**Using Percents to Calculate Discounts and Commissions**

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**Discount – a price reduction offered by a business to attract customers and to reduce inventory**

Examples: All Dockers Pants 15% off! All Jackets 20% off! Take 50% off all Spring Merchandise!

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**How to calculate the discount**

Example: Original Price is $40. It is on sale for 15% off. a. What is the discount amount? b. What is the new sale price? a. Discount amount = discount rate x original price = x $40 = $6.00 this is the amount of the discount b. New Sale Price = Original Price – Discount Amount = $40 - $6 = $34.00

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**Sometimes, stores will have discounts on top of discounts…**

All spring shirts are 40% off. From 7-noon, take AN ADDITIONAL 20% off all sale merchandise Most people would add the two discounts to get 60%, but this is incorrect.

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**A shirt regularly sells for $30.00**

The shirt is on sale for 40% off. Until noon, you can take an additional 20% off the sale price. The first 40%: x 30 = $12, so the sale price would be $30 - $12 = $18. THEN, take the additional 20% off the sale price: $18 x = $3.60. That makes the final sale price $ $3.60 = $14.40

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**Commission – an amount paid to an employee based on performance**

Examples: Car salesmen make a commission for each car sold. Real estate salespeople make a commission on the houses they sell. Commission is usually calculated as a percent of the sale price.

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John sells office equipment and is paid 5% commission on his total sales. If he had sales of $14,000 last week, how much commission did he make? Commission earned = Commission rate x Sales = 0.05 x 14,000 = $700 commission earned

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**Jenny sells real estate. She makes 6% commission on sales**

Jenny sells real estate. She makes 6% commission on sales. Last week she sold a house for $135,000. How much commission did she earn? Commission earned = Comm. Rate x Sales 0.06 x 135,000 = $8,100

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**Cameron makes 7% commission on sales**

Cameron makes 7% commission on sales. What was his weekly earnings based on the sales for last month? COMMISSION EARNED WEEK SALES $8,600 $9,600 $7,500 $10,900

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**Sales Tax An extra amount that is paid on most purchases.**

State, city and county governments usually have a tax: Example: Alabama 4%, Jefferson County 2%, Leeds 3%. These add to a total of 9%.

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**You purchase items at Wal Mart totaling $32. 80**

You purchase items at Wal Mart totaling $ The sales tax rate is 9% How much will the tax be, in dollars? What will be the total purchase price?

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Classwork Page 428; #42-50

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