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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 145 · 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 ₹4 more than a pencil. 3 pens and 2 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  2. 2.Kavya has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 4 and then add 4. The answer is 32. What is my number?
  4. 4.A pen costs ₹8 more than a pencil. 2 pens and 6 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹239 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹10 more than a pencil. 3 pens and 8 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 5 and then add 19. The answer is 59. What is my number?
  8. 8.The length of a rectangle is 11 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  9. 9.Solve for x: 5(x + 8) = 2x + 76. What is x?
  10. 10.I think of a number, multiply it by 3 and then add 23. The answer is 35. What is my number?
  11. 11.Kavya has 30 coins, all ₹5 and ₹2 coins, worth ₹138 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 3(x + 7) = x + 57. What is x?
  14. 14.I think of a number, multiply it by 6 and then add 22. The answer is 64. What is my number?
  15. 15.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  16. 16.Farhan has 29 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  18. 18.Meera has 28 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 10 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  20. 20.A pen costs ₹13 more than a pencil. 5 pens and 3 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  21. 21.2 × ? + 4 = 14
  22. 22.Solve for x: 7(x + 4) = 6x + 38. What is x?
  23. 23.4 × ? − 16 = 24
  24. 24.A pen costs ₹8 more than a pencil. 4 pens and 8 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 9(x + 1) = 2x + 86. What is x?
  26. 26.I think of a number, multiply it by 6 and then take away 34. The answer is 56. What is my number?
  27. 27.A pen costs ₹5 more than a pencil. 6 pens and 3 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 5(x + 5) = x + 93. What is x?
  29. 29.Solve for x: 5(x + 1) = 2x + 38. What is x?
  30. 30.Tara has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  32. 32.Solve for x: 9(x + 5) = 3x + 111. What is x?
  33. 33.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 6(x + 7) = 5x + 45. What is x?
  35. 35.7 × ? + 7 = 98
  36. 36.I think of a number, multiply it by 6 and then take away 14. The answer is 10. What is my number?
  37. 37.Solve for x: 7(x + 1) = 3x + 47. What is x?
  38. 38.I think of a number, multiply it by 5 and then take away 27. The answer is 118. What is my number?
  39. 39.A pen costs ₹13 more than a pencil. 4 pens and 8 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  40. 40.12 × ? − 28 = 44

Answer key

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

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