 # 6.2 Students will use proportions to solve percentage problems. Warm Up Rewrite each value as indicated. 1. as a percent 2. 25% as a fraction 3. as a decimal.

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6.2 Students will use proportions to solve percentage problems. Warm Up Rewrite each value as indicated. 1. as a percent 2. 25% as a fraction 3. as a decimal 4. 0.16 as a fraction 48% 0.375 4 25 24 50 3 8 1 4

6.2 Students will use proportions to solve percentage problems. Explain It! Brand A Brand B

6.2 Students will use proportions to solve percentage problems. General Objective Students will use proportions to solve percentage problems.

6.2 Students will use proportions to solve percentage problems. Where do we use percents?

6.2 Students will use proportions to solve percentage problems. The Percent Proportion = number 100 part Whole (of) 12 is what % of 40?

6.2 Students will use proportions to solve percentage problems. What percent of 92 is 66? Example 1: Finding the Percent One Number Is of Another Think: What number is to 100 as 66 is to 92? = number 100 part whole Set up a proportion. Substitute. n 100 66 92 = n  92 = 100  66 92n = 6600 Find the cross products. Method 1: Set up a proportion to find the percent. Simplify.

6.2 Students will use proportions to solve percentage problems. Additional Example 1 Continued n ≈ 72 Divide both sides by 92. 66 is approximately 72% of 92. Simplify. 92n = 6600 92

6.2 Students will use proportions to solve percentage problems. What percent of 140 is 21? Think: What number is to 100 as 21 is to 140? = number 100 part whole Set up a proportion. Let n represent the percent. n 100 21 140 = n  140 = 100  21 140n = 2100 Find the cross products. Try It! Example 1 Method 1: Set up a proportion. Simplify.

6.2 Students will use proportions to solve percentage problems. n = 15 Divide both sides by 140. 21 is 15% of 140. Try It! Example 1 Continued Simplify. 140n = 2100 140

6.2 Students will use proportions to solve percentage problems. Practice: Green: 1, 3 Red: 2, 5 Blue: 3, 4 1.What percent of 80 is 20? 2.What percent of 48 is 16? 3.300 out of 1000 is what percent? 4.70 is what percent of 35? 5.A bin contains 120 ears of white and yellow corn. Of these, 78 ears are yellow. What percent of the ears of corn are yellow? What percent are white? 25% 33 1/3% 30% 200% 65%; 35%

6.2 Students will use proportions to solve percentage problems. Lesson Quiz: Part Find each percent. 1. What percent of 75 is 15? 20%

6.2 Students will use proportions to solve percentage problems. 1. What percent of 75 is 15? A. 5 B. 10 C. 20 D. 50 Lesson Quiz for Student Response Systems

6.2 Students will use proportions to solve percentage problems. 3. 120 is what percent of 50? A. 12 B. 50 C. 240 D. 600 Lesson Quiz for Student Response Systems

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