Main Idea and New Vocabulary Example 1: Find the Part

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Presentation transcript:

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

Solve problems by using the percent equation. Main Idea/Vocabulary

p = 0.46  200 Write the percent equation. 46% = 0.46 p = 92 Multiply. Find the Part What number is 46% of 200? Estimate 46% of 200  0.5  200 or 100 part = percent  whole p = 0.46  200 Write the percent equation. 46% = 0.46 p = 92 Multiply. Answer: So, 92 is 46% of 200. Example 1

What number is 32% of 400? A. 432 B. 368 C. 128 D. 12.8 Example 1 CYP

26 = n  32 Write the percent equation. Find the Percent 26 is what percent of 32? Estimate part = percent  whole 26 = n  32 Write the percent equation. Divide each side by 32. 0.8125 = n Simplify. Since n represents the decimal form, the percent is 81.25%. Example 2

Check for Reasonableness 81.25%  80%  Find the Percent Answer: So, 26 is 81.25% of 32. Check for Reasonableness 81.25%  80%  Example 2

13 is what percent of 55? A. 42% B. 25% C. 23.6% D. 4.2% Example 2 CYP

12 = 0.40  w Write the percent equation. Find the Whole 12 is 40% of what number? Estimate part = percent  whole 12 = 0.40  w Write the percent equation. Divide each side by 0.40. 30 = w Simplify. Example 3

Check for Reasonableness 30 = 30  Find the Whole Answer: So, 12 is 40% of 30. Check for Reasonableness 30 = 30  Example 3

13 is 50% of what number? A. 63 B. 37 C. 26 D. 6.5 Example 3 CYP

MOVIES A survey found that 36% of people preferred comedies over action movies. If 450 people prefer comedies, how many people were surveyed? Example 4

450 = 0.36 ● n Write the percent equation. 36% = 0.36 Divide each side by 0.36. Use a calculator. 1,250 = n Answer: About 1,250 people were surveyed. Example 4

DINING A survey of found that 42% of a company’s employees went out for lunch at least once a week. If 84 employees indicated they go out for lunch at least once a week, how many people were surveyed? A. 200 people B. 126 people C. 42 people D. 2 people Example 4 CYP

Key Concept 5