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Solving One-Variable Equations with
Percents
Overview
This set of tutorials provides 42 examples of solving one-variable
equations that involve percents. They include these three main types of
equations:
•Finding the percent of a number (Examples 1-12)
•Finding the percent a is of b (Examples 13-33)
•Finding the solution to "a is b% of what number?” (Examples 34-42)
Solving Equations with Percents, of the form what is a% of b?
Example 1: 0 < a < 10, 0 < b < 10, b is an integer
Solving Equations with Percents, of the form what is a% of b?
Example 2: 0 < a < 10, 0 < b < 10, b is a decimal
Solving Equations with Percents, of the form what is a% of b?
Example 3: 0 < a < 10, 10 ≤ b < 100, b is an integer
Solving Equations with Percents, of the form what is a% of b?
Example 4: 0 < a < 10, 10 ≤ b < 100, b is an integer
Solving Equations with Percents, of the form what is a% of b?
Example 5: 10 ≤ a < 100, 0 < b < 10, b is an integer
Solving Equations with Percents, of the form what is a% of b?
Example 6: 10 ≤ a < 100, 0 < b < 10, b is a decimal
Solving Equations with Percents, of the form what is a% of b?
Example 7: 10 ≤ a < 100, 10 ≤ b < 100, b is an integer
Solving Equations with Percents, of the form what is a% of b?
Example 8: 10 ≤ a < 100, 10 ≤ b < 100, b is a decimal
Solving Equations with Percents, of the form what is a% of b?
Example 9: a ≥ 100, 0 < b < 10, b is an integer
Solving Equations with Percents, of the form what is a% of b?
Example 10: a ≥ 100, 10 < b < 10, b is a decimal
Solving Equations with Percents, of the form what is a% of b?
Example 11: a ≥ 100, 10 ≤ b < 100, b is an integer
Solving Equations with Percents, of the form what is a% of b?
Example 12: a ≥ 100, 10 ≤ b < 100, b is a decimal
Solving Equations with Percents, of the form what is a% of b?
Example 13: 0 < a < 10, 0 < b < 10, b is an integer
Solving Equations with Percents, of the form a is what percent of
b?
Example 14: 0 < a < 10, 0 < b < 10, b is a decimal
Solving Equations with Percents, of the form a is what percent of
b?
Example 15: 0 < a < 10, 10 ≤ b < 100, b is an integer
Solving Equations with Percents, of the form a is what percent of
b?
Example 16: 0 < a < 10, 10 ≤ b < 100, b is an integer
Solving Equations with Percents, of the form a is what percent of
b?
Example 17: 0 < a < 10, b ≥ 100, b is an integer
Solving Equations with Percents, of the form a is what percent of
b?
Example 18: 0 < a < 10, b ≥ 100, b is a decimal
Solving Equations with Percents, of the form a is what percent of
b?
Example 19: 10 ≤ a < 100, 0 < b < 10, b is an integer
Solving Equations with Percents, of the form a is what percent of
b?
Example 20: 10 ≤ a < 100, 0 < b < 10, b is a decimal
Solving Equations with Percents, of the form a is what percent of
b?
Example 21: 10 ≤ a < 100, 10 ≤ b < 100, b is an integer
Solving Equations with Percents, of the form a is what percent of
b?
Example 22: 10 ≤ a < 100, 10 ≤ b < 100, b is a decimal
Solving Equations with Percents, of the form a is what percent of
b?
Example 23: 10 ≤ a < 100, b ≥ 100, b is an integer
Solving Equations with Percents, of the form a is what percent of
b?
Example 24: 10 ≤ a < 100, b ≥ 100, b is a decimal
Solving Equations with Percents, of the form a is what percent of
b?
Example 25: a ≥ 100, 0 < b < 10, b is an integer
Solving Equations with Percents, of the form a is what percent of
b?
Example 26: a ≥ 100, 0 < b < 10, b is a decimal
Solving Equations with Percents, of the form a is what percent of
b?
Example 27: a ≥ 100, 10 ≤ b < 100, b is an integer
Solving Equations with Percents, of the form a is what percent of
b?
Example 28: a ≥ 100, 10 ≤ b < 100, b is a decimal
Solving Equations with Percents, of the form a is what percent of
b?
Example 29: a ≥ 100, b ≥ 100, b is an integer
Solving Equations with Percents, of the form a is what percent of
b?
Example 30: a ≥ 100, b ≥ 100, b is a decimal
Solving Equations with Percents, of the form a is what percent of
b?
Example 31: 0 < a < 10, 0 < b < 1
Solving Equations with Percents, of the form a is what percent of
b?
Example 32: 0 < a < 10, 1 ≤ b ≤ 10
Solving Equations with Percents, of the form a is what percent of
b?
Example 33: 0 < a < 10, 10 ≤ b ≤ 99
Solving Equations with Percents, of the form a is b% of what
number?
Example 34: 0 < a < 10, b ≥ 100
Solving Equations with Percents, of the form a is b% of what
number?
Example 35: 10 ≤ a ≤ 100, 0 < b < 1
Solving Equations with Percents, of the form a is b% of what
number?
Example 36: 10 ≤ a ≤ 100, 1 < b ≤ 10
Solving Equations with Percents, of the form a is b% of what
number?
Example 37: 10 ≤ a ≤ 100, 10 ≤ b ≤ 99
Solving Equations with Percents, of the form a is b% of what
number?
Example 38: 10 ≤ a ≤ 100, b ≥ 100
Solving Equations with Percents, of the form a is b% of what
number?
Example 39: a ≥ 100, 0 < b < 1
Solving Equations with Percents, of the form a is b% of what
number?
Example 40: a ≥ 100, 1 < b ≤ 10
Solving Equations with Percents, of the form a is b% of what
number?
Example 41: a ≥ 100, 10 ≤ b ≤ 99
Solving Equations with Percents, of the form a is b% of what
number?
Example 42: a ≥ 100, b ≥ 100

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Tutorials--Equations with Percents

  • 2. Overview This set of tutorials provides 42 examples of solving one-variable equations that involve percents. They include these three main types of equations: •Finding the percent of a number (Examples 1-12) •Finding the percent a is of b (Examples 13-33) •Finding the solution to "a is b% of what number?” (Examples 34-42)
  • 3. Solving Equations with Percents, of the form what is a% of b? Example 1: 0 < a < 10, 0 < b < 10, b is an integer
  • 4. Solving Equations with Percents, of the form what is a% of b? Example 2: 0 < a < 10, 0 < b < 10, b is a decimal
  • 5. Solving Equations with Percents, of the form what is a% of b? Example 3: 0 < a < 10, 10 ≤ b < 100, b is an integer
  • 6. Solving Equations with Percents, of the form what is a% of b? Example 4: 0 < a < 10, 10 ≤ b < 100, b is an integer
  • 7. Solving Equations with Percents, of the form what is a% of b? Example 5: 10 ≤ a < 100, 0 < b < 10, b is an integer
  • 8. Solving Equations with Percents, of the form what is a% of b? Example 6: 10 ≤ a < 100, 0 < b < 10, b is a decimal
  • 9. Solving Equations with Percents, of the form what is a% of b? Example 7: 10 ≤ a < 100, 10 ≤ b < 100, b is an integer
  • 10. Solving Equations with Percents, of the form what is a% of b? Example 8: 10 ≤ a < 100, 10 ≤ b < 100, b is a decimal
  • 11. Solving Equations with Percents, of the form what is a% of b? Example 9: a ≥ 100, 0 < b < 10, b is an integer
  • 12. Solving Equations with Percents, of the form what is a% of b? Example 10: a ≥ 100, 10 < b < 10, b is a decimal
  • 13. Solving Equations with Percents, of the form what is a% of b? Example 11: a ≥ 100, 10 ≤ b < 100, b is an integer
  • 14. Solving Equations with Percents, of the form what is a% of b? Example 12: a ≥ 100, 10 ≤ b < 100, b is a decimal
  • 15. Solving Equations with Percents, of the form what is a% of b? Example 13: 0 < a < 10, 0 < b < 10, b is an integer
  • 16. Solving Equations with Percents, of the form a is what percent of b? Example 14: 0 < a < 10, 0 < b < 10, b is a decimal
  • 17. Solving Equations with Percents, of the form a is what percent of b? Example 15: 0 < a < 10, 10 ≤ b < 100, b is an integer
  • 18. Solving Equations with Percents, of the form a is what percent of b? Example 16: 0 < a < 10, 10 ≤ b < 100, b is an integer
  • 19. Solving Equations with Percents, of the form a is what percent of b? Example 17: 0 < a < 10, b ≥ 100, b is an integer
  • 20. Solving Equations with Percents, of the form a is what percent of b? Example 18: 0 < a < 10, b ≥ 100, b is a decimal
  • 21. Solving Equations with Percents, of the form a is what percent of b? Example 19: 10 ≤ a < 100, 0 < b < 10, b is an integer
  • 22. Solving Equations with Percents, of the form a is what percent of b? Example 20: 10 ≤ a < 100, 0 < b < 10, b is a decimal
  • 23. Solving Equations with Percents, of the form a is what percent of b? Example 21: 10 ≤ a < 100, 10 ≤ b < 100, b is an integer
  • 24. Solving Equations with Percents, of the form a is what percent of b? Example 22: 10 ≤ a < 100, 10 ≤ b < 100, b is a decimal
  • 25. Solving Equations with Percents, of the form a is what percent of b? Example 23: 10 ≤ a < 100, b ≥ 100, b is an integer
  • 26. Solving Equations with Percents, of the form a is what percent of b? Example 24: 10 ≤ a < 100, b ≥ 100, b is a decimal
  • 27. Solving Equations with Percents, of the form a is what percent of b? Example 25: a ≥ 100, 0 < b < 10, b is an integer
  • 28. Solving Equations with Percents, of the form a is what percent of b? Example 26: a ≥ 100, 0 < b < 10, b is a decimal
  • 29. Solving Equations with Percents, of the form a is what percent of b? Example 27: a ≥ 100, 10 ≤ b < 100, b is an integer
  • 30. Solving Equations with Percents, of the form a is what percent of b? Example 28: a ≥ 100, 10 ≤ b < 100, b is a decimal
  • 31. Solving Equations with Percents, of the form a is what percent of b? Example 29: a ≥ 100, b ≥ 100, b is an integer
  • 32. Solving Equations with Percents, of the form a is what percent of b? Example 30: a ≥ 100, b ≥ 100, b is a decimal
  • 33. Solving Equations with Percents, of the form a is what percent of b? Example 31: 0 < a < 10, 0 < b < 1
  • 34. Solving Equations with Percents, of the form a is what percent of b? Example 32: 0 < a < 10, 1 ≤ b ≤ 10
  • 35. Solving Equations with Percents, of the form a is what percent of b? Example 33: 0 < a < 10, 10 ≤ b ≤ 99
  • 36. Solving Equations with Percents, of the form a is b% of what number? Example 34: 0 < a < 10, b ≥ 100
  • 37. Solving Equations with Percents, of the form a is b% of what number? Example 35: 10 ≤ a ≤ 100, 0 < b < 1
  • 38. Solving Equations with Percents, of the form a is b% of what number? Example 36: 10 ≤ a ≤ 100, 1 < b ≤ 10
  • 39. Solving Equations with Percents, of the form a is b% of what number? Example 37: 10 ≤ a ≤ 100, 10 ≤ b ≤ 99
  • 40. Solving Equations with Percents, of the form a is b% of what number? Example 38: 10 ≤ a ≤ 100, b ≥ 100
  • 41. Solving Equations with Percents, of the form a is b% of what number? Example 39: a ≥ 100, 0 < b < 1
  • 42. Solving Equations with Percents, of the form a is b% of what number? Example 40: a ≥ 100, 1 < b ≤ 10
  • 43. Solving Equations with Percents, of the form a is b% of what number? Example 41: a ≥ 100, 10 ≤ b ≤ 99
  • 44. Solving Equations with Percents, of the form a is b% of what number? Example 42: a ≥ 100, b ≥ 100