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Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. Warm Up Multiply. 1. 0.05  20 2. 0.32  15 3. 0.06  25 4. 0.75  18 5. 0.34  76. 1. 4.8. 1.5. 13.5. 25.84. Problem of the Day

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Warm Up

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. Warm Up Multiply. 1. 0.05  20 2. 0.32  15 3. 0.06  25 4. 0.75  18 5. 0.34  76 1 4.8 1.5 13.5 25.84

  3. Problem of the Day In a group of 60 triangular and square tiles, 25% are red, and 75% are blue. The ratio of triangles to squares is 1:2. Seventy percent of the squares are blue. Find the number of each kind of tile (red or blue squares or triangles). 3 red triangles, 17 blue triangles, 12 red squares, 28 blue squares

  4. Learn to find the percent of a number.

  5. Part n Part 67 = Whole Whole 90 100 The human body is made up mostly of water. In fact, about 67% of a person’s total (100%) body weight is water. If Cameron weighs 90 pounds, about how much of his weight is water? Recall that a percent is a part of 100. Since you want to know the part of Cameron’s body that is water, you can set up and solve a proportion to find the answer.

  6. Additional Example 1A: Using Proportions to Find Percents of Numbers Find the percent of each number. 30% of 50 30 100 n 50 = Write a proportion. 30 · 50 = 100 · n Set the cross products equal. 1,500 = 100n Multiply. 1,500 100n Divide each side by 100 to isolate the variable. = 100 100 15 = n 30% of 50 is 15.

  7. Helpful Hint When solving a problem with a percent greater than 100%, the part will be greater than the whole.

  8. Additional Example 1B: Using Proportions to Find Percents of Numbers Find the percent of each number. 200% of 24 200 100 n 24 = Write a proportion. 200 · 24 = 100 · n Set the cross products equal. 4,800 = 100n Multiply. 4,800 Divide each side by 100 to isolate the variable. 100n = 100 100 48 = n 200% of 24 is 48.

  9. Check It Out: Example 1A Find the percent of each number. 40% of 40 40 100 n 40 = Write a proportion. 40 · 40 = 100 · n Set the cross products equal. 1,600 = 100n Multiply. 1,600 100n Divide each side by 100 to isolate the variable. = 100 100 16 = n 40% of 40 is 16.

  10. Check It Out: Example 1B Find the percent of each number. 150% of 64 150 100 n 64 = Write a proportion. 150 · 64 = 100 · n Set the cross products equal. 9,600 = 100n Multiply. 9,600 Divide each side by 100 to isolate the variable. 100n = 100 100 96 = n 150% of 64 is 96.

  11. In addition to using proportions, you can find the percent of a number by using decimal equivalents.

  12. Additional Example 2A: Using Decimal Equivalents to Find Percents of Numbers Find the percent of the number. Check whether your answer is reasonable. 9% of 80 Write the percent as a decimal and multiply. 9% of 80 = 0.09 · 80 = 7.2 Model Since 10% of 80 = 8, a reasonable answer for 9% of 80 is 7.2. 9% 40% 20% 60% 0 100% 80% 80 40 60 20 0 7.2

  13. Additional Example 2B: Using Decimal Equivalents to Find Percents of Numbers Find the percent of the number. Estimate to check whether your answer is reasonable. 3% of 12 3% of 12 = 0.03 · 12 Write the percent as a decimal and multiply. = 0.36 Estimate 5% of 12 = 0.6, so 3% of 12 is a little less than 0.6. Thus 0.36 is a reasonable answer.

  14. Check It Out: Example 2A Find the percent of the number. Check whether your answer is reasonable. 21% of 40 Write the percent as a decimal and multiply. 21% of 40 = 0.21 · 40 = 8.4 Model Since 20% of 40 = 8, a reasonable answer for 21% of 40 is 8.4. 21% 40% 20% 60% 0 100% 80% 40 20 30 10 0 8.4

  15. Check It Out: Example 2B Find the percent of the number. Estimate to check whether your answer is reasonable. 6% of 18 6% of 18 = 0.06 · 18 Write the percent as a decimal and multiply. = 1.08 Estimate 5% of 20 = 1, so 6% of 18 is close to 1. Thus 1.08 is a reasonable answer.

  16. Additional Example 3: Geography Application The estimated world population in 2001 was 6,157 million. About 40% of the people were 19 or younger. What was the approximate number of people 19 or younger, to the nearest million? Find 40% of 6,157 million. 0.40 · 6,157 Write the percent as a decimal. 2,462.8 Multiply. The number of people 19 or younger was about 2,463 million.

  17. Check It Out: Example 3 The estimated world population in 2001 was 6,157 million. About 60% of the people were above 19 years of age. What was the approximate number of people 19 or older, to the nearest million? Find 60% of 6,157 million. 0.60 · 6,157 Write the percent as a decimal. 3,694.2 Multiply. The number of people 19 or older was about 3,694 million.

  18. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  19. Lesson Quiz Find the percent of each number. 1. 25% of 8 2. 40% of 110 Find the percent of each number. Check whether your answer is reasonable. 3. 150% of 96 4. 0.3% of 120 5. Whitmer Middle School has 850 students. If 42% of the students bought lunch on Monday, how many students bought lunch on Monday? 2 44 144 0.36 357

  20. Lesson Quiz for Student Response Systems 1. Identify 75% of 4. A. 1 B. 2 C. 3 D. 4

  21. Lesson Quiz for Student Response Systems 2. Identify 30% of 120. A. 36 B. 38 C. 40 D. 42

  22. Lesson Quiz for Student Response Systems 3. Identify 140% of 85. A. 125 B. 120 C. 119 D. 109

  23. Lesson Quiz for Student Response Systems 4. Identify 0.6% of 130. A. 0.78 B. 0.80 C. 0.82 D. 0.86

  24. Lesson Quiz for Student Response Systems 5. A school has 250 students. If 56% of the students went on a hiking trip, how many students went on a hiking trip? A. 194 students B. 166 students C. 154 students D. 140 students

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