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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 817 · 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.Kabir has 30 coins, all ₹5 and ₹2 coins, worth ₹144 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 3 and then take away 38. The answer is 46. What is my number?
  3. 3.Isha has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹8 more than a pencil. 6 pens and 2 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 4 and then add 39. The answer is 55. What is my number?
  6. 6.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 4 and then add 1. The answer is 21. What is my number?
  9. 9.I think of a number, multiply it by 6 and then take away 15. The answer is 81. What is my number?
  10. 10.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  12. 12.Solve for x: 7(x + 9) = 2x + 103. What is x?
  13. 13.I think of a number, multiply it by 3 and then add 13. The answer is 43. What is my number?
  14. 14.Solve for x: 8(x + 8) = 6x + 88. What is x?
  15. 15.I think of a number, multiply it by 5 and then add 19. The answer is 99. What is my number?
  16. 16.Solve for x: 8(x + 5) = 6x + 68. What is x?
  17. 17.The length of a rectangle is 9 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  18. 18.5 × ? − 7 = 23
  19. 19.3 × ? − 6 = 33
  20. 20.A pen costs ₹3 more than a pencil. 3 pens and 6 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 4(x + 2) = 3x + 13. What is x?
  22. 22.8 × ? + 5 = 29
  23. 23.I think of a number, multiply it by 7 and then take away 31. The answer is 25. What is my number?
  24. 24.I think of a number, multiply it by 9 and then add 11. The answer is 101. What is my number?
  25. 25.Dev has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹31 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 2 and then add 11. The answer is 21. What is my number?
  31. 31.Solve for x: 4(x + 9) = 3x + 49. What is x?
  32. 32.A pen costs ₹8 more than a pencil. 6 pens and 3 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  33. 33.6 × ? − 12 = 102
  34. 34.Solve for x: 4(x + 3) = 3x + 15. What is x?
  35. 35.Rohan has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 7 and then take away 10. The answer is 11. What is my number?
  37. 37.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 3(x + 8) = 2x + 25. What is x?
  39. 39.I think of a number, multiply it by 6 and then take away 31. The answer is 29. What is my number?
  40. 40.I think of a number, multiply it by 6 and then add 22. The answer is 34. What is my number?

Answer key

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

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