6.4 Notes December 19, 2011 6.4 Percent of a Number Warm Up Multiply. 1. 0.05 * 20 = 2. 0.32 * 15 = 3. 0.06 * 25 = 4. 0.75 * 18 = 5. 0.34 * 76 = T.Williams-OW 6.4 Notes December 19, 2011 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 T.Williams-OW 6.4 Notes December 19, 2011 6.4 Percent of a Number Learn to find the percent of a number. 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? Remember 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. T.Williams-OW 6.4 Notes December 19, 2011 Example 1A: Using Proportions to Find Percents of Numbers Find the percent of each number. 30% of 50 Convert percent to a decimal. Multiply. T.Williams-OW 6.4 Notes December 19, 2011 Example 1B: Using Proportions to Find Percents of Numbers Find the percent of each number. 200% of 24 Convert percent to a decimal. Multiply. T.Williams-OW 6.4 Notes December 19, 2011 Check It Out: Example 1A Find the percent of each number. 40% of 40 Convert percent to a decimal. Multiply. T.Williams-OW 6.4 Notes December 19, 2011 Check It Out: Example 1B Find the percent of each number. 150% of 64 Convert percent to a decimal. Multiply. T.Williams-OW 6.4 Notes December 19, 2011 Check It Out: Additional Practice 21% of 40 3% of 12 9% of 80 6% of 18 T.Williams-OW 6.4 Notes December 19, 2011 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? T.Williams-OW 6.4 Notes December 19, 2011 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? T.Williams-OW 6.4 Notes December 19, 2011 Lesson Quiz Find the percent of each number. 1. 25% of 8 2. 40% of 110 3. 150% of 96 4. 0.3% of 120 5. Williams Middle School has 850 students. If 42% of the students bought lunch on Monday, how many students bought lunch on Monday? T.Williams-OW
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