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Warm Up

Preview. Warm Up. California Standards. Lesson Presentation. 1. 3. 33. %. Warm Up 1. What percent of 20 is 18? 2. What percent of 400 is 50? 3. 9 is what percent of 27? 4. 25 is what percent of 4?. 90%. 12.5%. 625%. California Standards.

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Warm Up

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  1. Preview Warm Up California Standards Lesson Presentation

  2. 1 3 33 % Warm Up 1.What percent of 20 is 18? 2. What percent of 400 is 50? 3. 9 is what percent of 27? 4. 25 is what percent of 4? 90% 12.5% 625%

  3. California Standards NS1.3 Convert fractions to decimals andpercents and use these representations in estimations, computations, andapplications.

  4. When one number is known, and its relationship to another number is given by a percent, the other number can be found.

  5. 60 0.12 0.12 = n 0.12 Additional Example 1: Finding a Number When the Percent Is Known 60 is 12% of what number? Choose a method: Set up an equation. part = percent  whole Set up an equation. 60 = 12%  n Let n represent the whole. 60 = 0.12n 12% = 0.12 Divide both sides by 0.12. 500 = n Simplify. 60 is 12% of 500.

  6. 75 0.25 0.25 = n 0.25 Check It Out! Example 1 75 is 25% of what number? Choose a method: Set up an equation. part = percent  whole Set up an equation. 75 = 25%  n Let n represent the whole. 75 = 0.25n 25% = 0.25 Divide both sides by 0.25. 300 = n Simplify. 75 is 25% of 300.

  7. Set up a proportion. = 85 17 100 n Additional Example 2: Application Anna earned 85% on a test by answering 17 questions correctly. If each question was worth the same amount, how many questions were on the test? Choose a method: Set up a proportion. Think: 85 is to 100 as 17 is to what number? 85  n = 100 17Find the cross products. 85n = 1700 Simplify.

  8. 85n = 1700 85 85 Additional Example 2 Continued Anna earned 85% on a test by answering 17 questions correctly. If each question was worth the same amount, how many questions were on the test? Divide both sides by 85. n = 20 Simplify. There were 20 questions on the test.

  9. Set up a proportion. = 80 20 100 n Check It Out! Example 2 Tom earned 80% on a test by answering 20 questions correctly. If each question was worth the same amount, how many questions were on the test? Choose a method: Set up a proportion. Think: 80 is to 100 as 20 is to what number? 80  n = 100 20Find the cross products. 80n = 2000 Simplify.

  10. 80n = 2000 80 80 Check It Out! Example 2 Continued Tom earned 80% on a test by answering 20 questions correctly. If each question was worth the same amount, how many questions were on the test? Divide both sides by 80. n = 25 Simplify. There were 25 questions on the test.

  11. 55 5.2 Set up a proportion. = 100 h Additional Example 3A: Life Science Application When a giraffe is born, it is approximately 55% as tall as it will be as an adult. If a baby giraffe is 5.2 feet tall when it is born, how tall will it be when it is full grown, to the nearest tenth of a foot? Choose a method: Set up a proportion. Think: 55 is to 100 and 5.2 is to what number? 55 h = 100 5.2Find the cross products.

  12. 520 h Divide both sides by 55. = 55 Additional Example 3A Continued When a giraffe is born, it is approximately 55% as tall as it will be as an adult. If a baby giraffe is 5.2 feet tall when it is born, how tall will it be when it is full grown, to the nearest tenth of a foot? h 9.5 Simplify. This giraffe will be approximately 9.5 feet tall when full grown.

  13. Additional Example 3B: Life Science Application A fisherman caught a lobster that weighed 11.5 lb. This was 70% of the weight of the largest lobster that fisherman had ever caught. What was the weight, to the nearest tenth of a pound, of the largest lobster the fisherman had ever caught? Choose a method: Set up an equation. Think: 11.5 is 70% of what number? 11.5 = 70% n Set up an equation. 11.5 = 0.70 n 70% = 0.70

  14. 11.5 n = Divide both sides by 0.70. 0.70 Additional Example 3B Continued A fisherman caught a lobster that weighed 11.5 lb. This was 70% of the weight of the largest lobster that fisherman had ever caught. What was the weight, to the nearest tenth of a pound, of the largest lobster the fisherman had ever caught? 16.4 n Simplify. The largest lobster the fisherman had ever caught was about 16.4 lb.

  15. Check It Out! Example 3A Amy caught a fish that weighed 15.5 lb. This was 85% of the weight of the largest fish that Amy had ever caught. What was the weight, to the nearest tenth of a pound, of the largest fish that Amy had ever caught? Choose a method: Set up an equation. Think: 15.5 is 85% of what number? 15.5 = 85% n Set up an equation. 15.5 = 0.85 n 85% = 0.85

  16. 15.5 n = Divide both sides by 0.85. 0.85 Check It Out! Example 3A Continued Amy caught a fish that weighed 15.5 lb. This was 85% of the weight of the largest fish that Amy had ever caught. What was the weight, to the nearest tenth of a pound, of the largest fish that Amy had ever caught? 18.2 n Simplify. The largest fish that Amy had ever caught was about 18.2 lb.

  17. 85 120 Set up a proportion. = 100 w Check It Out! Example 3B When Bart was 12, he was approximately 85% of the weight he is now. If Bart was 120 lb, how heavy is he now, to the nearest tenth of a pound? Choose a method: Set up a proportion. Think: 85 is to 100 as 120 is to what number? 85 w = 100 120 Find the cross products. 85w = 12,000 Simplify.

  18. 12000 w Divide both sides by 85. = 85 Check It Out! Example 3B Continued When Bart was 12, he was approximately 85% of the weight he is now. If Bart was 120 lb, how heavy is he now, to the nearest tenth of a pound? Simplify. w 141.2 Bart weighs approximately 141.2 lbs.

  19. You have now seen all three types of percent problems.

  20. 1 2 Lesson Quiz 1. 10 is 12 % of what number? 2. 326 is 25% of what number? 3. 44% of what number is 11? 4. 290% of what number is 145? 5. Larry has 9 novels about the American Revolutionary War. This represents 15% of his total book collection. How many books does Larry have in all? 80 1304 25 50 60

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