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Mastering Ratios, Proportions & Percentages: Practical Examples and Applications

Explore ratios, proportions, and percentages with practical examples and real-world applications. Learn how to solve percent problems, calculate percent changes, and work with increase and decrease scenarios. Improve your understanding of these fundamental math concepts with clear explanations and step-by-step solutions.

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Mastering Ratios, Proportions & Percentages: Practical Examples and Applications

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  1. Table of Contents Topic Page # ... 3.5/3.6 Ratios and Proportions 41 3.7 Percents 43 3.7B Solve Percent Problems 45

  2. 3.7B Solve Percent Problems #45

  3. Ex 1: The survey results show that 33 of the 220 students choose macaroni and cheese for lunch. What percent is that? 3 5 11 1

  4. Ex 2: The school survey shows that 40 out of 220 students bought lasagna for lunch on Friday. What percent is that? 5 11

  5. Ex 3: In a school transportation survey of 225 students, 18 of the students said they walk to school. What percent of students walk to school? 2 4 9 1

  6. Ex 4: After completing 10 laps in the Daytona 500, a driver has completed 5% of the race. How many laps does the race have? 1 2

  7. Ex 5: A family spends $408 one month for food. This was 40% of its income. What was their monthly income? 1 51 5 20

  8. Percent of change: Indicates how much a quantity increases or decreases with respect to the original amount

  9. Percent of increase: New amount is greater than original amount

  10. Percent of decrease: New amount is less than original amount

  11. Ex 6: State whether each percent of change is a percent of increase or decrease. Then find the percent of change. Round to the nearest whole percent.

  12. a. Original: 16 New: 20 increase of 4 1 4 25 1

  13. b. Original: 80 New: 44 decrease of 36 9 4 5 1

  14. Ex 7: Wendy worked for $6 an hour for the first month she was on the job. She was then given a raise to $6.24 an hour. What was the percent of her wage increase? 0.04 1

  15. Ex 8: A car stereo that originally cost $175 was on sale for $150. What was the percent of decrease for the car stereo? (round to 2 decimal places) 1 7

  16. Ex #9: Find the new amount. a. Increase 70 by 80% 8 10 7 1

  17. Ex #9: Find the new amount. b. Increase 14 by 45% 9 50 7 10

  18. Ex #9: Find the new amount. 4 c. Decrease 40 by 20% 2 5 1

  19. Ex #9: Find the new amount. d. Decrease 110 by 90% 9 10 11 1

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