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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 150 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.The length of a rectangle is 12 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  2. 2.A pen costs ₹4 more than a pencil. 4 pens and 5 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 2 and then add 8. The answer is 60. What is my number?
  4. 4.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  5. 5.Solve for x: 7(x + 1) = 4x + 13. What is x?
  6. 6.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹219 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 13 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 5 and then take away 9. The answer is 26. What is my number?
  9. 9.3 × ? + 20 = 29
  10. 10.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  11. 11.2 × ? + 22 = 70
  12. 12.9 × ? − 27 = 90
  13. 13.I think of a number, multiply it by 2 and then take away 31. The answer is 15. What is my number?
  14. 14.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 7 and then take away 8. The answer is 181. What is my number?
  16. 16.9 × ? − 1 = 44
  17. 17.I think of a number, multiply it by 8 and then take away 37. The answer is 35. What is my number?
  18. 18.A pen costs ₹10 more than a pencil. 6 pens and 8 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 8(x + 4) = 4x + 52. What is x?
  21. 21.I think of a number, multiply it by 6 and then take away 4. The answer is 62. What is my number?
  22. 22.I think of a number, multiply it by 4 and then add 8. The answer is 108. What is my number?
  23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  24. 24.Solve for x: 3(x + 2) = x + 20. What is x?
  25. 25.Solve for x: 9(x + 3) = 8x + 32. What is x?
  26. 26.Arjun has 19 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹4 more than a pencil. 5 pens and 3 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹214 in all. What does one pencil cost (in ₹)?
  29. 29.Meera has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  30. 30.Ishaan has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  31. 31.3 × ? − 4 = 20
  32. 32.I think of a number, multiply it by 7 and then add 29. The answer is 148. What is my number?
  33. 33.I think of a number, multiply it by 9 and then add 29. The answer is 227. What is my number?
  34. 34.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  35. 35.A pen costs ₹3 more than a pencil. 5 pens and 5 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 8(x + 8) = 4x + 88. What is x?
  37. 37.Solve for x: 4(x + 4) = 2x + 42. What is x?
  38. 38.I think of a number, multiply it by 8 and then take away 39. The answer is 33. What is my number?
  39. 39.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 9 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?

Answer key

  1. 25
  2. 20
  3. 26
  4. 3
  5. 2
  6. 15
  7. 4
  8. 7
  9. 3
  10. 5
  11. 24
  12. 13
  13. 23
  14. 3
  15. 27
  16. 5
  17. 9
  18. 3
  19. 9
  20. 5
  21. 11
  22. 25
  23. 21
  24. 7
  25. 5
  26. 14
  27. 3
  28. 12
  29. 7
  30. 11
  31. 8
  32. 17
  33. 22
  34. 27
  35. 11
  36. 6
  37. 13
  38. 9
  39. 9
  40. 14

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