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Percents

Percents. Lesson 1 Objective: Find the percent of a number. Find 5% of 300. Find 25% of 180. Find 120% of 75. Find 150% of 28. 5. Refer to the graph. If 275 students took the survey, how many can be expected to have 3 televisions each in their houses?. 6. Find 8% of 25.

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Percents

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  1. Percents Lesson 1 Objective: Find the percent of a number

  2. Find 5% of 300. • Find 25% of 180. • Find 120% of 75. • Find 150% of 28.

  3. 5. Refer to the graph. If 275 students took the survey, how many can be expected to have 3 televisions each in their houses?

  4. 6. Find 8% of 25. 7. Find 20% of 75. 8. Find 125% of 64. 9. Find 210% of 30.

  5. 10. A graph shows that 30% of the people in a town speak Spanish. If the town has 800 people, how many people can be expected to speak Spanish?

  6. Lesson 2Objective: Estimate the percent of a number

  7. Sometimes an exact answer is not needed when using percents. • One way to estimate the percent of a number is to use a fraction. • Another method for estimating the percent of a number is first to find 10% of the number, and then multiply.

  8. 1. Jodi has paid 62% of the $500 she owes for her loan. Estimate 62% of 500.

  9. 2. Marita and four of her friends ordered a pizza that cost $14.72. She is responsible for 20% of the bill. About how much money will she need to pay?

  10. 3. Estimate 122% of 50.

  11. 4. There are 789 seventh grade students at Washington Middle School. About of the 7th grade students have traveled overseas. What is the approximate number of 7th grade students that have traveled overseas? Explain.

  12. 5. Last year, 639 students attended a summer camp. Of those who attended this year, 0.5% also attended summer camp last year. About how many students attended summer camp two years in a row?

  13. 6. Estimate 61% of 440.

  14. 7. Melinda calculated that 40% of the coins in her collection were minted before 1964. If there are 715 coins in her collection, about how many of them were minted before 1964?

  15. 8. About % of Smithville’s 1,500 adult citizens are attending the upcoming pop concert. What is the approximate number of adults attending the concert?

  16. 9. Estimate 173% of 60.

  17. 10. Last weekend, 96,081 people attended a college football game. About 0.25% of them were reporters from newspapers, television and radio stations. About how many reporters were at the game?

  18. Lesson 3Objective: Solve problems involving percents by using the percent proportion

  19. In a percent proportion, one ratio or fraction compares part of a quantity to the whole quantity. The other ratio is the equivalent percent written as a fraction with a denominator of 100.

  20. 1. What percent of $15 is $9?

  21. 2. What number is 40% of 120?

  22. 3. 18 is 25% of what number?

  23. 4. The average adult male Western Lowland gorilla eats about 33.5 pounds of fruit each day. How much food does the average adult male gorilla eat each day?

  24. 5. What percent of 24 is 18?

  25. 6. What number is 30% of 150?

  26. 7. 12 is 80% of what number?

  27. 8. Sally read the nutrition facts on a box of cereal. Each cup provides 7% of the recommended daily value of potassium. If a cup of the cereal contains 260 milligrams of potassium, what is the recommended daily value of potassium? Round to the nearest whole number.

  28. Lesson 4Objective: Solve problems involving percents by using the percent equation.

  29. 1. What number is 12% of 150?

  30. 2. 21 is what percent of 40?

  31. 3. 13 is 26% of what number?

  32. 4. A survey found that 25% of people aged 18-24 gave up their home phone and only use a cell phone. If 3,264 people only use a cell phone, how many people were surveyed?

  33. 5. What number is 48% of 200?

  34. 6. 26 is what percent of 32?

  35. 7. 12 is 40% of what number?

  36. 8. A survey found that 36% of people prefer comedies over action movies. If 450 people prefer comedies, how many people were surveyed?

  37. Lesson 5Objective: Solve problems involving percent increase and percent decrease

  38. A percent of change is a ratio that compares the change in quantity to the original amount. amount of change • Percent of change = original amount • When you compare the amount of change to the original amount in a ratio, you are finding the percent of change. The percent of change is based on the original amount. • If the original quantity is increased, then it is called a percent of increase. • If the original quantity is decreased, then it is called a percent of decrease. amount of increase • Percent of increase = original amount amount of decrease • Percent of decrease = original amount

  39. 1. Find the percent of change in the cost of gasoline from 1970 ($1.30) to 2010 ($2.95). Round to the nearest whole percent if necessary.

  40. 2. Yusuf bought a DVD recorder for $280. Now, it is on sale for $220. Find the percent of change in the price. Round to the nearest whole percent if necessary.

  41. 3. Jonas has been saving for a video game. Last year it cost $28. This year it costs $36. Find the percent of change in the cost. Round to the nearest whole percent if necessary.

  42. 4. Last month, 349 books were checked out from the school library. This month, 273 books were checked out. Find the percent of change in the number checked out. Round to the nearest whole percent if necessary.

  43. The percent erroris a ratio that compares the inaccuracy of an estimate, or amount of error, to the actual amount.

  44. 5. Ahmed wants to practice free-throws. He estimates the distance from the free-throw line to the hoop and marks it with chalk. Ahmed’s estimate was 13.5 feet. The actual distance should be 15 feet. Find the percent error.

  45. 6. Morgan estimates that it will take 12 minutes to download a movie from an online movie store. It actually took 15.5 minutes to download the movie. Find the percent error. Round to the nearest whole percent if necessary.

  46. Lesson 6Objective: Solve problems involving financial literacy: sales tax, tips, and markup

  47. Sales tax is an additional amount of money charged on items that people buy. The total cost of an item is the regular price plus the sales tax. • A tip or gratuity is a small amount of money in return for a service. The total price is the regular price of the service plus the tip. • A store sells items for more than it pays for those items. The amount of increase is called the markup. The selling priceis the amount the customer pays for an item.

  48. 1. Drew wants to buy exercise equipment that costs $140 and the sales tax is 5.75%. What is the total cost of the equipment?

  49. 2. A customer wants to tip 15% on a restaurant bill that is $35. What will be the total bill with tip?

  50. 3. A haircut costs $20. Sales tax is 4.75%. Is $25 sufficient to cover the haircut with tax and a 15% tip?

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