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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 792 · 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 ₹14 more than a pencil. 5 pens and 2 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 2 and then add 7. The answer is 29. What is my number?
  3. 3.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  4. 4.Rohan has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  5. 5.Pooja has 27 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 7(x + 8) = 3x + 124. What is x?
  7. 7.2 × ? + 13 = 35
  8. 8.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 7(x + 2) = x + 86. What is x?
  10. 10.7 × ? − 19 = 72
  11. 11.Solve for x: 5(x + 9) = 2x + 69. What is x?
  12. 12.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹14 more than a pencil. 3 pens and 5 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 12 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  15. 15.Farhan has 23 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  16. 16.Rahul has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 9(x + 2) = 3x + 54. What is x?
  19. 19.A pen costs ₹5 more than a pencil. 5 pens and 7 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹5 more than a pencil. 2 pens and 2 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  21. 21.5 × ? + 6 = 36
  22. 22.I think of a number, multiply it by 7 and then add 24. The answer is 178. What is my number?
  23. 23.The length of a rectangle is 8 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  24. 24.Solve for x: 7(x + 3) = 4x + 51. What is x?
  25. 25.I think of a number, multiply it by 4 and then take away 23. The answer is 1. What is my number?
  26. 26.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  27. 27.Solve for x: 4(x + 5) = 2x + 54. What is x?
  28. 28.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  31. 31.Pooja has 22 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 8 and then take away 9. The answer is 199. What is my number?
  33. 33.I think of a number, multiply it by 7 and then add 8. The answer is 169. What is my number?
  34. 34.Solve for x: 3(x + 9) = x + 49. What is x?
  35. 35.Priya has 29 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 9 and then take away 11. The answer is 124. What is my number?
  38. 38.The length of a rectangle is 14 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  39. 39.7 × ? + 24 = 129
  40. 40.10 × ? − 8 = 82

Answer key

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

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