Main Idea and New Vocabulary Key Concept: Types of Percent Problems

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Presentation transcript:

Main Idea and New Vocabulary Key Concept: Types of Percent Problems Example 1: Find the Percent Example 2: Find the Part Example 3: Find the Whole Example 4: Real-World Example Lesson Menu

Solve problems using the percent proportion. Main Idea/Vocabulary

Key Concept

Find the Percent What percent of 24 is 18? Example 1

18 ● 100 = 24 ● n Find the cross products. Find the Percent Write the proportion. 18 ● 100 = 24 ● n Find the cross products. 1800 = 24n Simplify. Divide each side by 24. 75 = n Answer: So, 18 is 75% of 24. Example 1

What percent of 60 is 15? A. 85% B. 45% C. 25% D. 9% Example 1 CYP

Find the Part What number is 30% of 150? Example 2

p • 100 = 150 • 30 Find the cross products. Find the Part Write the proportion. p • 100 = 150 • 30 Find the cross products. 100p = 4,500 Simplify. Divide each side by 100. p = 45 Answer: So, 45 is 30% of 150. Example 2

What number is 20% of 160? A. 140 B. 32 C. 12 D. 3.2 Example 2 CYP

Find the Whole 12 is 80% of what number? Example 3

12 ● 100 = w ● 80 Find the cross products. Find the Whole Write the proportion 12 ● 100 = w ● 80 Find the cross products. 1,200 = 80w Simplify. Divide each side by 80. 15 = w Answer: So, 12 is 80% of 15. Example 3

11 is 20% of what number? A. 55 B. 31 C. 9 D. 2.2 Example 3 CYP

You know that 260 milligrams is the part. You need to find the whole. BREAKFAST Sally read the nutrition facts on a box of her favorite cereal. Each cup of the cereal provides 7% of the recommended daily value of potassium. If a cup of the cereal contains 260 milligrams of potassium, what is the recommended daily value of potassium? You know that 260 milligrams is the part. You need to find the whole. Example 4

260 ● 100 = w ● 7 Find the cross products. Write the proportion. 260 ● 100 = w ● 7 Find the cross products. 26,000 = 7w Simplify. Divide each side by 7. 3,714.3 = w Answer: The recommended daily value of potassium is 3,714 milligrams. Example 4

SPORTS DRINKS A bottle of orange-flavored sports drink is made with 10% real fruit juice. If the bottle contains 6.4 ounces of real fruit juice, how many ounces of the drink does the bottle contain? A. 0.64 ounce B. 6.4 ounces C. 16.4 ounces D. 64 ounces Example 4 CYP