Warm Up page 735 #1-6 Solve. 1. 4x = x = x = x = Course Solving Percents Problems 7 HW pg. 348 #10-22

Problem of the Day Rearrange the digits in. What fraction of the possible arrangements are true proportions? 2626 = Course Solving Percents Problems

Learn to solve problems involving percents. 7.RP.2 - Recognize and represent proportional relationships between quantities. EQ: Can you describe two methods for solving percent problems? Can you explain how to find sales tax? Course Solving Percents Problems

Sloths may seem lazy, but their extremely slow movement helps to make them almost invisible to predators. Sloths sleep an average of 16.5 hours a day. To find out what percent of a 24-hour day 16.5 hours is, you can use a proportion or an equation. Course Solving Percents Problems

Proportion Method Equation Method n 100 = Part Whole Part Whole What percent of 24 is 16.5? n · 24 = 100 · n = 1,650 n = n · 24 = 16.5 n = n = 68.75% Sloths spend about 69% of the day sleeping! Course Solving Percents Problems

Solve. Additional Example 1A: Using Proportions to Solve Problems with Percents What percent of 40 is 25? n 100 = n · 40 = 100 · 25 40n = 2,500 40n 40 = 2, n = is 62.5% of 40. Write a proportion. Set the cross products equal. Multiply. Divide each side by 40 to isolate the variable. Course Solving Percents Problems

Solve. Additional Example 1B: Using Proportions to Solve Problems with Percents 15 is 25% of what number? = 15 n n · 25 = 100 · 15 25n = 1,500 25n 25 = 1, n = is 25% of 60. Write a proportion. Set the cross products equal. Multiply. Divide each side by 25 to isolate the variable. Course Solving Percents Problems

Solve. Check It Out: Example 1A What percent of 50 is 10? n 100 = n · 50 = 100 · 10 50n = 1,000 50n 50 = 1, n = is 20% of 50. Write a proportion. Set the cross products equal. Multiply. Divide each side by 50 to isolate the variable. Course Solving Percents Problems

Solve. Check It Out: Example 1B 8 is 40% of what number? = 8n8n n · 40 = 100 · 8 40n = n 40 = n = 20 8 is 40% of 20. Write a proportion. Set the cross products equal. Multiply. Divide each side by 40 to isolate the variable. Course Solving Percents Problems

Solve. Additional Example 2A: Using Equations to Solve Problems with Percents 35 is 28% of what number? 35 = 28% · n 35 = 0.28 · n = 0.28 · n = n 35 is 28% of 125. Write an equation. Write 28% as a decimal. Divide each side by 0.28 to isolate the variable. Course Solving Percents Problems

Solve. Additional Example 2B: Using Equations to Solve Problems with Percents What percent of 9 is 18? 18 = n · = n · = n 200% = n 18 is 200% of 9. Write an equation. Divide each side by 9 to isolate the variable. Write the decimal as a percent. Course Solving Percents Problems

Solve. Check It Out: Example 2A 36 is 24% of what number? 36 = 24% · n 36 = 0.24 · n 150 = n 36 is 24% of 150. Write an equation. Write 24% as a decimal. Divide each side by 0.24 to isolate the variable = 0.24 · n 0.24 Course Solving Percents Problems

Solve. Check It Out: Example 2B What percent of 6 is 36? 36 = n · = n · = n 600% = n 36 is 600% of 6. Write an equation. Divide each side by 6 to isolate the variable. Write the decimal as a percent. Course Solving Percents Problems

A portable DVD player costs $225 before tax at an appliance warehouse. What is the sales tax rate if the tax is $18? Additional Example 3: Finding Sales Tax n 100 = n · 225 = 100 · 18 8% of $225 is $18. The sales tax is 8%. Write a proportion. Set the cross products equal. Multiply. Restate the question: What percent of $225 is $18? 225n = 1800 Course Solving Percents Problems 225n 225 = Divide each side by 225. n = 8

A new flat screen TV costs $800 before tax at an appliance warehouse. What is the sales tax rate if the tax is $56? Check It Out: Example 3 n 100 = n · 800 = 100 · 56 7% of $800 is $56. The sales tax is 7%. Write a proportion. Set the cross products equal. Multiply. Restate the question: What percent of $800 is $56? 800n = 5600 Course Solving Percents Problems 800n 800 = Divide each side by 800. n = 7

Lesson Quiz Solve is 42% of what number? 2. What percent of 292 is 73? % of what number is 84? 4. What percent of 1,340 is 13.4? 5. An ad features a bicycle on sale for $139. If the total cost of the bike is $147.34, what is the sales tax rate? 25% 50 Insert Lesson Title Here 75 1% 6% Course Solving Percents Problems

Learn to solve problems involving percents. 7.RP.2 - Recognize and represent proportional relationships between quantities. EQ: Can you describe two methods for solving percent problems? Can you explain how to find sales tax? Course Solving Percents Problems