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**Lesson 7-1Percent of a Number**Lesson 7-2 The Percent Proportion Lesson 7-3 Percent and Estimation Lesson 7-4 Algebra: The Percent Equation Lesson 7-5 Problem-Solving Investigation: Determine Reasonable Answers Lesson 7-6 Percent of Change Lesson 7-7 Sales Tax and Discount Lesson 7-8 Simple Interest Chapter Menu**Find the percent of a number.**Lesson 1 MI/Vocab**P. 346 – 3489-27 ODD**• In a survey, 54 out of 100 people responded “Yes.” What percent responded “Yes?” • 100 students were tested, and 36 got A. What percentgot A? • Jackie had $100 and spent $12.50 for lunch? What percent of her $100 did she spend for lunch?**HW: P. 346: 1-7 ALL**Percent: A fraction whose denominator is 100.**Find the Percent of a Number**Find 8% of 125. Method 1 Write the percent as a fraction. Lesson 1 Ex1**Find the Percent of a Number**Method 2 Write the percent as a decimal. So, 8% of 125 is 10. Answer: 10 Interactive Lab:Percent of a Number Lesson 1 Ex1**5% =**= · = = 15 of 300 = 100 20 20 20 20 1 5% = 0.05 300 300 5 1 1 1 · 0.05 300 = 15 What is 5 percent of 300?**25% =**= · = = 24 of 96 = 100 4 1 4 4 4 25% = 0.25 96 96 25 1 1 1 · 0.25 96 = 24 Find 25% of 96.**120% =**= · = = 90 of 75 = 100 1 5 5 5 5 120% = 1.2 75 120 450 6 6 6 · 1.2 75 = 90 Find 120% of 75.**8.9% =**· = = 6.675 of 75 = 100 1 100 100 100 8.9% = 0.089 75 8.9 8.9 8.9 667.5 · 0.089 75 = 6.675 Find 8.9% of 75.**97.5% =**· = = 78 of 80 = 100 100 100 100 1 97.5% = 0.975 97.5 97.5 97.5 80 7800 · 0.975 80 = 78 Find 97.5% of 80.**60% =**= · = 30000 = of 5000 = 100 1 5 5 5 5 60% = 0.6 60 15000 5000 3 3 3 · 0.6 5000 = 3000 A community has a population of 5000. 60% voted. How many people voted?**20% =**= · = = 13 of 65 = 100 1 5 5 5 5 20% = 0.2 20 65 65 1 1 1 · 0.2 65 = 13 Mr. Redding sells cars to 20% of the people who come to his showroom. If 65 people came to his showroom, how many vehicles did he sell?**Part**= Whole = · · n 55 22 100 = 2200 55n = 100 55 55n 2200 55 55 22 n = n 40% El Rodeo School’s Chess Club has 55 members. 22 are in 7th grade. What percent are in 7th grade?**Part**= Whole = · · 100 15 n 75 = 75n 1500 = 100 n 1500 75n 75 75 15 75 = 20 n In the city of Los Angeles, 75% of the parks have tennis courts. If 15 parks have tennis courts, how many parks does Los Angeles have?**Part**= Whole = · · n 100 23.40 15 = 351 100n = 23.40 100 351 100n 100 100 15 n = n $3.51 Linda’s bill at the restaurant is $23.40. She plans to tip the waiter 15%. How much should she leave?**Find 72% of 350.**• A • B • C • D A. 116 B. 252 C. 308 D. 335 Lesson 1 CYP1**Use Percents Greater Than 100%**Find 125% of 64. Method 1 Write the percent as a fraction. Lesson 1 Ex2**Use Percents Greater Than 100%**Method 2 Write the percent as a decimal. So, 125% of 64 is 80. Answer: 80 Lesson 1 Ex2**Find 225% of 50.**• A • B • C • D A. 225 B. 175 C. 112.5 D. 78.5 Lesson 1 CYP2**LANGUAGESThe graph below shows that 30% of the people in a**community speak Spanish as their first language. If a community has 800 people, how many people can be expected to speak Spanish as their first language? Lesson 1 Ex3**To find 30% of 800, write the percent as a decimal. Then**multiply. 30% of 800 = 30% ● 800 = 0.30 ● 800 = 240 So, 240 people can be expected to speak Spanish as their first language. Answer: 240 Lesson 1 Ex3**SLEEP The average person sleeps 33% of their adult life. If**their adult life consists of 62 years, how many years does the average person spend sleeping? • A • B • C • D A. 41.54 B. 33 C. 21.8 D. 20.46 Lesson 1 CYP3**Five-Minute Check (over Lesson 7-1)**Main Idea and Vocabulary California Standards Example 1: Find the Percent Example 2: Find the Part Example 3: Find the Whole Example 4: Use Percent to Solve a Problem Concept Summary: Types of Percent Problems Lesson 2 Menu**Solve problems using the percent proportion.**• percent proportion Lesson 2 MI/Vocab**Proportion**Find the Percent What percent of 24 is 18? The number 24 comes after the word of, so the whole is 24. You are asked to find the percent, so the part is the remaining number, 18. Words What percent of 24 is 18? Variable Let nrepresent the percent. Lesson 2 Ex1**Find the Percent**Write the proportion. Find the cross products. Simplify. Divide each side by 24. Simplify. Answer: 75% of 24 is 18. Lesson 2 Ex1**Part**= Whole = · · n 15 9 100 = 900 15n = 100 15 900 15n 15 15 9 n = n 60 What percent of 15 is 9?**Proportion**Find the Part What number is 30% of 150? The percent is 30%. Since the number 150 comes after the word of, the whole is 150. You are asked to find the part. Words What number is 30% of 150? Variable Let p represent the part. Lesson 2 Ex2**Find the Part**Write the proportion. Find the cross products. Simplify. Divide each side by 100. Simplify. Answer: 30% of 150 is 45. Lesson 2 Ex2**Part**= Whole · · = 40 120 n 100 = 100n 4,800 100 120 100n 4,800 = 100 100 40 n = 48 n What number is 40% of 120?**Proportion**Find the Whole 12 is 80% of what number? The percent is 80%. The words what number come after the word of. So, you are asked to find the whole. Thus, 12 is the part. Words 12 is 80% of what number? Variable Let w represent the whole. Lesson 2 Ex3**Find the Whole**Write the proportion. Find the cross products. Simplify. Divide each side by 80. Simplify. Answer: 12 is 80% of 15. Lesson 2 Ex3**Part**= Whole · · = n 50 19 100 = 1900 50n 100 n 1900 50n = 50 50 19 50 = n 38 19 is 50% of what number?**Part**= Whole = · · n 50 20 100 = 2000 50n 100 50 = 2000 50n 50 50 20 n = n 40 What percent of 50 is 20?**Part**= Whole = · · n 220 100 95.3 = 95.3n 22000 100 n = 95.3n 22000 95.3 95.3 220 95.3 ≈ n 230.8 220 is 95.3% of what number?**Part**= Whole = · · 25 20 n 100 = 100n 500 100 20 100n 500 = 100 100 25 n = 5 n What number is 25% of 20?**Part**= Whole · · = n 22 24.2 100 = 2420 22n 100 n = 2420 22n 22 22 24.2 22 = n 110 22% of what number is 24.2?**What percent of 80 is 28?**• A • B • C • D A. 28% B. 35% C. 56% D. 80% Lesson 2 CYP1**What number is 65% of 180?**• A • B • C • D A. 65 B. 115 C. 117 D. 245 Lesson 2 CYP2**36 is 40% of what number?**• A • B • C • D A. 14.4 B. 76 C. 90 D. 102.6 Lesson 2 CYP3**BREAKFASTSally 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 cereal contains 260 milligrams of potassium, what is the recommended daily value of potassium? You know that 260 milligrams is 7% of the recommended daily value. So, the problem asks 260 is 7% of what number? Thus, you need to find the whole. Lesson 2 Ex4**Write the proportion.**Find the cross products. Simplify. Divide each side by 7. So, the recommended daily value of potassium is 3,714 mg. Answer: 3,714 mg Lesson 2 Ex4**FUND RAISER The students at Greenview Middle School have**raised $250 so far in their annual fund raiser. This amount represents 5% of their goal. What is the fund raising goal for the students at Greenview Middle School? • A • B • C • D A. $500 B. $1,250 C. $3,500 D. $5,000 Lesson 2 CYP4**Five-Minute Check (over Lesson 7-2)**Main Idea California Standards Example 1: Use Percents to Estimate Example 2: Use Percents to Estimate Example 3: Percents Greater Than 100 or Less Than 1 Example 4: Percents Greater Than 100 or Less Than 1 Example 5: Estimate Percent to Solve a Problem Lesson 3 Menu