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Percent Word Problems: A Guide to Solving Real-Life Percentages

This guide provides step-by-step solutions to various percent word problems commonly encountered in school. It includes examples such as calculating the percentage of students choosing a meal from survey results, determining the percentage of laps completed in a race, and analyzing income based on expenses. Additionally, we explore percent change for both increases and decreases, offering practical scenarios ranging from wage increases to price reductions. This resource is ideal for students and anyone needing a refresher on percentages.

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Percent Word Problems: A Guide to Solving Real-Life Percentages

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  1. You will be able to: Solve Percent Word Problems

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

  3. Ex 2: The school survey shows that 55 out of 220 students bought lasagna for lunch on Friday. What percent is that? 5 5 11 1

  4. 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 1 9

  5. 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

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

  7. Percent of Change: What % up or down a number goes change original % . 100 =

  8. Percent of Increase: New amount is more than original amount Percent of Decrease: New amount is less than original amount

  9. Example 6: State whether each percent of change is a percent of increase or decrease. Then find the percent of change.

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

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

  12. c. original: 60 new: 90 increase of 30 1 2 1 50

  13. d. original: 75 new: 45 decrease of 30 10 4 3 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 $180 was on sale for $150. What was the percent of decrease for the car stereo? (round to 2 decimal places) 1 6 50 3

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