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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 242 · 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.A pen costs ₹9 more than a pencil. 3 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 5 and then take away 17. The answer is 38. What is my number?
  3. 3.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 2 and then add 40. The answer is 56. What is my number?
  5. 5.Arjun has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 4 and then add 40. The answer is 72. What is my number?
  7. 7.Diya has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  8. 8.Aditya has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 8(x + 4) = 4x + 40. What is x?
  10. 10.6 × ? − 4 = 140
  11. 11.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 4 and then add 38. The answer is 74. What is my number?
  13. 13.3 × ? + 7 = 79
  14. 14.Solve for x: 9(x + 8) = 6x + 108. What is x?
  15. 15.5 × ? − 6 = 59
  16. 16.10 × ? − 30 = 90
  17. 17.3 × ? + 13 = 40
  18. 18.I think of a number, multiply it by 8 and then take away 8. The answer is 232. What is my number?
  19. 19.I think of a number, multiply it by 8 and then take away 31. The answer is 177. What is my number?
  20. 20.I think of a number, multiply it by 5 and then add 3. The answer is 108. What is my number?
  21. 21.I think of a number, multiply it by 8 and then add 9. The answer is 57. What is my number?
  22. 22.I think of a number, multiply it by 7 and then take away 10. The answer is 46. What is my number?
  23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  24. 24.6 × ? − 4 = 104
  25. 25.Saanvi has 30 coins, all ₹5 and ₹2 coins, worth ₹132 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 7(x + 8) = 6x + 60. What is x?
  28. 28.Manav has 27 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  29. 29.2 × ? − 3 = 7
  30. 30.4 × ? − 5 = 43
  31. 31.Solve for x: 4(x + 5) = 3x + 35. What is x?
  32. 32.A pen costs ₹2 more than a pencil. 2 pens and 5 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 9(x + 1) = 8x + 13. What is x?
  34. 34.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 6 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  36. 36.8 × ? + 12 = 52
  37. 37.Solve for x: 7(x + 6) = 5x + 78. What is x?
  38. 38.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  39. 39.6 × ? + 27 = 39
  40. 40.A pen costs ₹15 more than a pencil. 5 pens and 5 pencils cost ₹115 in all. What does one pencil cost (in ₹)?

Answer key

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

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