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Do Now 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 Course 2 6-4 Percent of a Number 13.5 25.84 Hwk: 54

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Learn to find the percent of a number. Course 2 6-4 Percent of a Number M7A2.a Given a problem, define a variable, write an equation, solve the equation, and interpret the solution; M7A2.b Use the addition and multiplication properties of equality to solve one- and two-step linear equations;

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Course 2 6-4 Percent of a Number The human body is made up mostly of water. In fact, about 67% of a persons total (100%) body weight is water. If Cameron weighs 90 pounds, about how much of his weight is water? Part 67 = nPart 100 90 Whole

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Find the percent of each number. Additional Example 1A: Using Proportions to Find Percents of Numbers Course 2 6-4 Percent of a Number 30% of 50 30 100 = n 50 30 · 50 = 100 · n 1,500 = 100n 1,500 100 = 100n 15 = n 30% of 50 is 15.

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Course 2 6-4 Percent of a Number When solving a problem with a percent greater than 100%, the part will be greater than the whole. Helpful Hint

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Additional Example 1B: Using Proportions to Find Percents of Numbers Course 2 6-4 Percent of a Number Find the percent of each number. 200% of 24 200 100 = n 24 200 · 24 = 100 · n 4,800 = 100n 4,800 100 = 100n 48 = n 200% of 24 is 48.

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Find the percent of each number. Check It Out: Example 1A Course 2 6-4 Percent of a Number 40% of 40 40 100 = n 40 40 · 40 = 100 · n 1,600 = 100n 1,600 100 = 100n 16 = n 40% of 40 is 16.

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Check It Out: Example 1B Course 2 6-4 Percent of a Number Find the percent of each number. 150% of 64 150 100 = n 64 150 · 64 = 100 · n 9,600 = 100n 9,600 100 = 100n 96 = n 150% of 64 is 96.

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Find the percent of the number. Check whether your answer is reasonable. Additional Example 2A: Using Decimal Equivalents to Find Percents of Numbers Course 2 6-4 Percent of a Number 9% of 80 9% of 80 = 0.09 · 80 = 7.2

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Additional Example 2B: Using Decimal Equivalents to Find Percents of Numbers Course 2 6-4 Percent of a Number Find the percent of the number. 3% of 12 3% of 12 = 0.03 · 12 = 0.36

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Find the percent of the number. Check whether your answer is reasonable. Check It Out: Example 2A Course 2 6-4 Percent of a Number 21% of 40 21% of 40 = 0.21 · 40 = 8.4

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Check It Out: Example 2B Course 2 6-4 Percent of a Number Find the percent of the number. 6% of 18 6% of 18 = 0.06 · 18 = 1.08

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Additional Example 3: Geography Application Course 2 6-4 Percent of a Number 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 2,462.8

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Check It Out: Example 3 Course 2 6-4 Percent of a Number 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 3,694.2 The number of people 19 or older was about 3,694 million.

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You Try 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 student bought lunch on Monday? 44 2 Insert Lesson Title Here 144 0.36 Course 2 6-4 Percent of a Number 357

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