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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 748 · 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.Arjun has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  2. 2.9 × ? − 25 = 2
  3. 3.11 × ? − 18 = 4
  4. 4.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  5. 5.Rahul has 30 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 3 and then add 7. The answer is 13. What is my number?
  7. 7.Pooja has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 3 and then take away 29. The answer is 16. What is my number?
  9. 9.A pen costs ₹11 more than a pencil. 4 pens and 7 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 15 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  12. 12.2 × ? + 7 = 49
  13. 13.I think of a number, multiply it by 2 and then add 2. The answer is 60. What is my number?
  14. 14.Rahul has 23 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  15. 15.Saanvi has 23 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  16. 16.12 × ? − 27 = 141
  17. 17.4 × ? + 23 = 79
  18. 18.Solve for x: 5(x + 8) = x + 84. What is x?
  19. 19.3 × ? + 20 = 62
  20. 20.Solve for x: 6(x + 7) = 2x + 54. What is x?
  21. 21.I think of a number, multiply it by 9 and then add 30. The answer is 111. What is my number?
  22. 22.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 7(x + 3) = 6x + 33. What is x?
  24. 24.Ananya has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 4(x + 5) = 3x + 26. What is x?
  26. 26.A pen costs ₹14 more than a pencil. 5 pens and 3 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  29. 29.5 × ? + 7 = 17
  30. 30.I think of a number, multiply it by 8 and then take away 32. The answer is 176. What is my number?
  31. 31.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  32. 32.Sneha has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 5 and then add 36. The answer is 171. What is my number?
  34. 34.I think of a number, multiply it by 9 and then take away 37. The answer is 233. What is my number?
  35. 35.I think of a number, multiply it by 2 and then add 23. The answer is 27. What is my number?
  36. 36.2 × ? + 16 = 20
  37. 37.The length of a rectangle is 3 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  38. 38.Solve for x: 6(x + 4) = 4x + 44. What is x?
  39. 39.3 × ? + 27 = 48
  40. 40.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?

Answer key

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

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