5. Thirteen percent of the profits from Kendall’s business are

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5. Thirteen percent of the profits from Kendall’s business are Write an equation for each problem. Then solve. Round to the nearest tenth if necessary. 1. 38 is what percent of 320? 2. 24% of what number is 72? 3. Find 43% of 128. 4. What percent of 28 is 9? 5. Thirteen percent of the profits from Kendall’s business are donated to charities. Write and solve an equation to find out how much Kendall donates if her profits are $1,292.42. 6. 17 is what percent of 104? Course 2, Chapter 2 PSI

ANSWERS 1. 38 = n 320; 11.9% 2. 0.24 n = 72; 300 3. 0.43 128 = n; 55.04 4. n 28 = 9; 32.1% 5. 0.13 1,292.42 = n; $168.01 6. 16.3% Course 2, Chapter 2 PSI

HOW can percent help you understand situations involving money? Ratios and Proportional Relationships HOW can percent help you understand situations involving money? Course 2, Chapter 2 PSI

Ratios and Proportional Relationships 7.RP.3 Use proportional relationship to solve multistep ratio and percent problems. 7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. Course 2, Chapter 2 PSI Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Mathematical Practices Ratios and Proportional Relationships Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics. Course 2, Chapter 2 PSI Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Ratios and Proportional Relationships A problem-solving strategy to help us determine whether an answer is reasonable Course 2, Chapter 2 PSI

Case #3 Travel Read the problem. What are you being asked to find? Ratios and Proportional Relationships Case #3 Travel A travel agency surveyed 140 families about their favorite vacation spots. Is it reasonable to say that 24 more families chose Hawaii over Florida? Explain. Read the problem. What are you being asked to find? What is your strategy to solve this problem? Use your strategy to solve the problem. Does your answer make sense? Use information from the problem to check your answer. Course 2, Chapter 2 PSI

Ratios and Proportional Relationships Case #4 Exercise A survey showed that 61% of middle school students do some kind of physical activity every day. Suppose there are 828 middle school students in your school. About how many students would play on the football team? Read the problem. What are you being asked to find? What is your strategy to solve this problem? Use your strategy to solve the problem. Does your answer make sense? Use information from the problem to check your answer. Course 2, Chapter 2 PSI

Ratios and Proportional Relationships Case #5 Clubs Of the 36 students in the environmental club, 15 are boys and 21 are girls. The president of the club wants to add more boys so that the boys represent 50% of the students in the club. Write and solve an equation to find the number of boys to be added. Then find the total number of students in the club. Read the problem. What are you being asked to find? What is your strategy to solve this problem? Use your strategy to solve the problem. Does your answer make sense? Use information from the problem to check your answer. Course 2, Chapter 2 PSI

Case #6 Bowling Read the problem. What are you being asked to find? Ratios and Proportional Relationships Case #6 Bowling In bowling, you get a spare when you knock down the ten pins in two throws. How many possible ways are there to get a spare? Read the problem. What are you being asked to find? What is your strategy to solve this problem? Use your problem-solving strategy to solve the problem. Does your answer make sense? Use information from the problem to check your answer. Course 2, Chapter 2 PSI