1. Lesson 3.7 Solve Percent Problems
Essential Question: How do you solve percent problems?

2. Before we start…
The sum of China and Japan’s total Olympic medals from 2004 is 100. What percent of their medals were gold? Silver? Bronze?
Country
China
Japan
Gold 32 16
Silver 17 9
Bronze 14 12

3. What is a percent?
“divided by 100”
27%=

4. How do you solve percent problems?
Write the percent as a fraction.
Set up a proportion.
Solve.
What should the proportion look like?

5. Part of the number
The percent
𝒂 𝒃 = 𝒑 𝟏𝟎𝟎
The entire number

6. Percent Problems Question Method Proportion a is what percent of b?
Solve for p.
𝑎 𝑏 = 𝒑 100
What number is p% of b?
Solve for a.
𝒂 𝑏 = 𝑝 100
a is p% of what number?
Solve for b.
𝑎 𝒃 = 𝑝 100

7. What percent of 25 is 17?

8. What number is 30% of 90?

9. 14 is 48% of what number?

10. What percent of 20 is 15?

11. What number is 35% of 80?

12. 35 is 24% of what number?

13. What percent of 120 is 66?

14. What number is 60% of 85?

15. What is the percent equation?
Part of the base
Base
𝑎=𝑝%∙𝑏
Percent

16. How do you solve a problem using the percent equation?
Write the percent equation.
Substitute the parts you know.
Solve for the unknown variable.

17. What percent of 136 is 51?

18. What number is 15% of 88?

19. 20 is 12.5% of what number?

20. What percent of 56 is 49?

21. What number is 140% of 50?

22. 65 is 62.5% of what number?

23. What percent of 80 is 56?
What number is 115% of 60?

24. Survey A survey asked 220 students to name their favorite pasta dish
Survey A survey asked 220 students to name their favorite pasta dish. Find the percent of students who chose the given pasta.
Macaroni and cheese
Lasagna
Pasta Type
Students
Spaghetti 83
Lasagna 40
Macaroni and Cheese 33
Fettucine alfredo 22
Baked ziti 16
Pasta primavera 15
Other 11

25. Beaches In a survey of 2000 people, 26
Beaches In a survey of 2000 people, 26.7% said that they visited a beach during the past year. How many people said they visited a beach during the past year?

26. Ice Cream A survey found that 88, or 22%, of adults preferred vanilla ice cream. How many adults were sampled?

27. Student Council Marc received 273, or 35%, of the votes in the student council election. How many students voted in the election?

28. Environment A service club is planting seedlings as part of an erosion prevention project. Out of 240 newly planted seedlings, 15 are laurel sumac. What percent of the seedlings are laurel sumac?

29. School Newspaper Your school newspaper’s budget this year is 160% of last year’s budget, which was $2125. What is this year’s budget?

30. Marathon Of the 23,513 people who entered the Honolulu Marathon one year, 19,236 finished. What percent of the runners finished? Round your answer to the nearest tenth of a percent.

31. Water A child’s body weight is approximately 75% water
Water A child’s body weight is approximately 75% water. About how many pounds of a 60 pound child’s weight is water?

32. Number Sense One day, 32 of 80 people wore a red shirt to school
Number Sense One day, 32 of 80 people wore a red shirt to school. What percent of the 80 people did not wear a red shirt to school?

33. How do you solve percent problems?

34. Ticket Out the Door
What number is 18% of 150?