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Percent Word Problems

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**Warm Up What is 70% of 258? 180.6 216 is what percent of 360? 60%**

16% of what number is 80? 500

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**If 20% play a sport then 80% do NOT play a sport.**

A school has a total enrollment of 800 students. Twenty percent of the students play a sport. How many do not play a sport? If 20% play a sport then 80% do NOT play a sport. 80% of 800 = (.80)(800) = 640 In other words, what is 80% of 800? 640

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**200(0.3) = 60 In other words, what is 30% of 200? 60**

There are 200 freshmen in a high school. 30% of them take Spanish. How many freshmen are enrolled in Spanish? 200(0.3) = 60 In other words, what is 30% of 200? 60

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**An algebra class contains 30 students**

An algebra class contains 30 students. Forty percent of the students in the class are girls. How many boys are in the class? Hint: If 40% of the class are girls then 60% of the class are boys. You need to find 60% of the 30 students. (30)(.60) = 18 OR What is 60% of 30? x = 18

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**First find the price with a discount:**

An appliance store advertises a discount of 45% off the list price of every item. Find the total cost, including a 6% sales tax, of a dishwasher that is listed at $410. First find the price with a discount: (410)(.45) = $184.50 $410 - $ = $ (New Price) Next, find the final price with sales tax added: $225.50(.06) = $13.53 Final Price = $ $13.53 = $239.03

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**Final Price: Discounted Price: ($40)(.05) = $2 ($50)(.20) = $10**

A football is advertised on sale at a discount of 20% off its regular price of $50. How much will Jane pay for the football if there is a 5% sales tax? Final Price: ($40)(.05) = $2 FP = $40 + $2 = $42 Discounted Price: ($50)(.20) = $10 DP = $50 - $10 = $40

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**First Discount Price: ($43.98)(.35) = $15.39**

The original marked price of a video game is $ During a special discount sale, the game price is reduced by 35% of the marked price. Then 15% of this reduced price is taken off at the cash register. What is the final price? First Discount Price: ($43.98)(.35) = $15.39 1st DP = $ $15.39 = $28.59 2nd Discount Price: ($28.59)(.15) = $4.29 Final DP = $ $4.29 = $24.30

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**Percent of Increase or Decrease**

Percent of Decrease =

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**Last week Dora earned $40 working part time. This week she earned $30**

Last week Dora earned $40 working part time. This week she earned $30. What is the percent of decrease?

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**The high school football team won 19 games this season**

The high school football team won 19 games this season. Last year the team won 15 games. The increase in wins is what percent of the wins last year?

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**In the diagram at the right DF = 20 and DE = 16**

In the diagram at the right DF = 20 and DE = 16. EF is what percent of DF? 4 16 D E F 20 In other words, 4 is what percent of 20? 20%

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