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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 501 · 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.I think of a number, multiply it by 4 and then take away 15. The answer is 21. What is my number?
  2. 2.11 × ? − 24 = 229
  3. 3.2 × ? − 9 = 23
  4. 4.3 × ? + 8 = 26
  5. 5.2 × ? + 20 = 32
  6. 6.3 × ? + 27 = 69
  7. 7.Isha has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  8. 8.Aditya has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  9. 9.2 × ? − 30 = 8
  10. 10.A pen costs ₹2 more than a pencil. 6 pens and 6 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹6 more than a pencil. 4 pens and 8 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹7 more than a pencil. 4 pens and 7 pencils cost ₹248 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 3 and then add 18. The answer is 48. What is my number?
  15. 15.6 × ? − 20 = 64
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  17. 17.4 × ? + 10 = 38
  18. 18.I think of a number, multiply it by 3 and then take away 3. The answer is 18. What is my number?
  19. 19.The length of a rectangle is 7 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  20. 20.Tara has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  21. 21.4 × ? + 19 = 111
  22. 22.I think of a number, multiply it by 7 and then take away 11. The answer is 178. What is my number?
  23. 23.Solve for x: 8(x + 4) = 7x + 43. What is x?
  24. 24.A pen costs ₹2 more than a pencil. 3 pens and 6 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  26. 26.12 × ? − 19 = 173
  27. 27.The length of a rectangle is 4 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 4 and then add 32. The answer is 48. What is my number?
  29. 29.8 × ? + 13 = 109
  30. 30.7 × ? − 3 = 32
  31. 31.The length of a rectangle is 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  32. 32.2 × ? + 28 = 46
  33. 33.6 × ? − 4 = 80
  34. 34.A pen costs ₹6 more than a pencil. 5 pens and 4 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  35. 35.6 × ? − 5 = 25
  36. 36.I think of a number, multiply it by 6 and then take away 35. The answer is 19. What is my number?
  37. 37.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  38. 38.8 × ? − 4 = 116
  39. 39.A pen costs ₹8 more than a pencil. 4 pens and 8 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  40. 40.Arjun has 29 coins, all ₹5 and ₹2 coins, worth ₹130 in all. How many ₹5 coins are there?

Answer key

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

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