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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 198 · 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 ₹12 more than a pencil. 4 pens and 8 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 12 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 7 and then add 1. The answer is 50. What is my number?
  5. 5.A pen costs ₹9 more than a pencil. 3 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  7. 7.A pen costs ₹11 more than a pencil. 3 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  8. 8.3 × ? + 4 = 25
  9. 9.A pen costs ₹14 more than a pencil. 4 pens and 2 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 9(x + 1) = 2x + 86. What is x?
  11. 11.Aditya has 20 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 9(x + 6) = x + 78. What is x?
  13. 13.The length of a rectangle is 6 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  14. 14.Solve for x: 4(x + 6) = 3x + 31. What is x?
  15. 15.A pen costs ₹9 more than a pencil. 4 pens and 8 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹10 more than a pencil. 6 pens and 8 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 9 and then add 6. The answer is 159. What is my number?
  18. 18.The length of a rectangle is 13 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 3 and then take away 32. The answer is 46. What is my number?
  21. 21.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹5 more than a pencil. 6 pens and 8 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  24. 24.Priya has 23 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  25. 25.Nisha has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 2 and then add 40. The answer is 70. What is my number?
  27. 27.7 × ? − 17 = 151
  28. 28.Solve for x: 9(x + 6) = 8x + 65. What is x?
  29. 29.I think of a number, multiply it by 9 and then take away 3. The answer is 141. What is my number?
  30. 30.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 3 and then take away 1. The answer is 32. What is my number?
  33. 33.I think of a number, multiply it by 2 and then add 11. The answer is 41. What is my number?
  34. 34.Solve for x: 8(x + 1) = 5x + 68. What is x?
  35. 35.I think of a number, multiply it by 4 and then add 36. The answer is 44. What is my number?
  36. 36.A pen costs ₹9 more than a pencil. 5 pens and 5 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  37. 37.2 × ? + 20 = 58
  38. 38.I think of a number, multiply it by 3 and then add 19. The answer is 46. What is my number?
  39. 39.Isha has 29 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  40. 40.6 × ? + 8 = 122

Answer key

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

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