8-3

1. Finding a Number When the Percent Is Known 8-3 Course 3 Warm Up Problem of the Day Lesson Presentation

2. Finding a Number When the Percent Is Known 8-3 1 3 33 % Course 3 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. Finding a Number When the Percent Is Known 8-3 Course 3 Problem of the Day The original price of a sweater is $40. The sweater goes on sale for 75% of its original price. Later, the sweater goes on clearance for 50% of its sale price. What is the clearance price of the sweater? $15

4. Finding a Number When the Percent Is Known 8-3 Course 3 Learn to find a number when the percent is known.

5. Finding a Number When the Percent Is Known 8-3 Course 3 The Pacific giant squid can grow to a weight of 2000 pounds. This is 1250% of the maximum weight of the Pacific giant octopus. When one number is known, and is relationship to another number is given by a percent, the other number can be found.

6. Finding a Number When the Percent Is Known 8-3 12 60 12% = 100 0.12 0.12 = n 0.12 Course 3 Additional Example 1: Finding a Number When the Percent Is Known 60 is 12% of what number? Set up an equation to find the number. 60 = 12%  n Set up an equation. 60 = 0.12n Divide both sides by 0.12. 500 = n 60 is 12% of 500.

7. Finding a Number When the Percent Is Known 8-3 25 75 25% = 100 0.25 0.25 = n 0.25 Course 3 Try This: Example 1 75 is 25% of what number? Set up an equation to find the number. 75 = 25%  n Set up an equation. 75 = 0.25n Divide both sides by 0.25. 300 = n 75 is 25% of 300.

8. Finding a Number When the Percent Is Known 8-3 Set up a proportion. = 85 17 100 n Course 3 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 to find the number. Think: 85 is to 100 as 17 is to what number?

9. Finding a Number When the Percent Is Known 8-3 1700 85 n = Solve for n. Course 3 Additional Example 2 Continued 85  n = 100 17Find the cross products. 85n = 1700 n = 20 There were 20 questions on the test.

10. Finding a Number When the Percent Is Known 8-3 Set up a proportion. = 80 20 100 n Course 3 Try This: 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 to find the number. Think: 80 is to 100 as 20 is to what number?

11. Finding a Number When the Percent Is Known 8-3 2000 80 n = Solve for n. Course 3 Try This: Example 2 Continued 80  n = 100 20Find the cross products. 80n = 2000 n = 25 There were 25 questions on the test.

12. Finding a Number When the Percent Is Known 8-3 Course 3 Additional Example 3A: Life Science Application A. 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.

13. Finding a Number When the Percent Is Known 8-3 11.5 n = Solve for n. 0.70 Course 3 Additional Example 3A Continued 11.5 = 0.70 n 70% = 0.70 16.4 n The largest lobster the fisherman had ever caught was about 16.4 lb.

14. Finding a Number When the Percent Is Known 8-3 55 5.2 Set up a proportion. = 100 h Course 3 Additional Example 3B: Life Science Application B.When a giraffe is born, 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?

15. Finding a Number When the Percent Is Known 8-3 520 h Solve for h. = 55 Course 3 Additional Example 3B Continued 55 h = 100 5.2Find the cross products. 55h = 520 h 9.5 This giraffe will be approximately 9.5 feet tall when full grown.

16. Finding a Number When the Percent Is Known 8-3 Course 3 Try This: Example 3 A. 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.

17. Finding a Number When the Percent Is Known 8-3 15.5 n = Solve for n. 0.85 Course 3 Try This: Example 3 Continued 15.5 = 0.85 n 85% = 0.85 18.2 n The largest fish that Amy had ever caught was about 18.2 lb.

18. Finding a Number When the Percent Is Known 8-3 85 120 Set up a proportion. = 100 w Course 3 Try This: Example 3 B. 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?

19. Finding a Number When the Percent Is Known 8-3 12000 w Solve for h. = 85 Course 3 Try This: Example 3 Continued 85 w = 100 120 Find the cross products. 85w = 12000 w 141.2 Bart weighs approximately 141.2 lbs.

20. Finding a Number When the Percent Is Known 8-3 Course 3 You have now seen all three types of percent problems.

21. Finding a Number When the Percent Is Known 8-3 1 2 Course 3 Insert Lesson Title Here 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