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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 227 · 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 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  2. 2.Solve for x: 6(x + 9) = 2x + 74. What is x?
  3. 3.4 × ? + 8 = 92
  4. 4.8 × ? + 25 = 121
  5. 5.7 × ? + 13 = 76
  6. 6.A pen costs ₹2 more than a pencil. 4 pens and 8 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  7. 7.Arjun has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  8. 8.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  9. 9.Ananya has 22 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹3 more than a pencil. 4 pens and 3 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 5 and then add 31. The answer is 81. What is my number?
  12. 12.Ananya has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 14 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 9 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 8 and then take away 17. The answer is 159. What is my number?
  16. 16.I think of a number, multiply it by 3 and then add 9. The answer is 15. What is my number?
  17. 17.Solve for x: 7(x + 2) = 4x + 41. What is x?
  18. 18.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 5(x + 6) = 2x + 90. What is x?
  20. 20.Solve for x: 4(x + 8) = x + 50. What is x?
  21. 21.7 × ? + 10 = 94
  22. 22.A pen costs ₹8 more than a pencil. 6 pens and 2 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹15 more than a pencil. 6 pens and 2 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  25. 25.Aditya has 30 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 8(x + 1) = 7x + 25. What is x?
  28. 28.Diya has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  29. 29.5 × ? − 19 = 96
  30. 30.Solve for x: 4(x + 8) = 3x + 35. What is x?
  31. 31.I think of a number, multiply it by 3 and then take away 19. The answer is 11. What is my number?
  32. 32.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  33. 33.5 × ? + 13 = 88
  34. 34.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  36. 36.2 × ? + 17 = 37
  37. 37.Sneha has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 8 and then take away 5. The answer is 19. What is my number?
  39. 39.11 × ? − 25 = 63
  40. 40.I think of a number, multiply it by 9 and then add 2. The answer is 128. What is my number?

Answer key

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

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