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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 5 · 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 ₹7 more than a pencil. 4 pens and 3 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 10 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  3. 3.A pen costs ₹8 more than a pencil. 3 pens and 3 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  4. 4.6 × ? + 28 = 46
  5. 5.Solve for x: 8(x + 1) = 6x + 34. What is x?
  6. 6.I think of a number, multiply it by 5 and then add 26. The answer is 46. What is my number?
  7. 7.2 × ? + 20 = 62
  8. 8.A pen costs ₹3 more than a pencil. 6 pens and 4 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  9. 9.5 × ? − 8 = 102
  10. 10.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  11. 11.Arjun has 24 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 2 and then add 5. The answer is 33. What is my number?
  13. 13.Solve for x: 4(x + 2) = 3x + 24. What is x?
  14. 14.A pen costs ₹6 more than a pencil. 5 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  16. 16.Priya has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 3 and then take away 11. The answer is 25. What is my number?
  18. 18.Solve for x: 7(x + 1) = 6x + 24. What is x?
  19. 19.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  21. 21.12 × ? + 30 = 78
  22. 22.The length of a rectangle is 13 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  23. 23.A pen costs ₹10 more than a pencil. 2 pens and 6 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  24. 24.12 × ? + 25 = 145
  25. 25.I think of a number, multiply it by 6 and then add 20. The answer is 86. What is my number?
  26. 26.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 4 and then take away 5. The answer is 31. What is my number?
  28. 28.Solve for x: 6(x + 1) = 2x + 74. What is x?
  29. 29.Pooja has 21 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  30. 30.Farhan has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  32. 32.11 × ? − 15 = 216
  33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 9 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  35. 35.Solve for x: 4(x + 8) = 2x + 68. What is x?
  36. 36.A pen costs ₹5 more than a pencil. 5 pens and 5 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  38. 38.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  39. 39.Aditya has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 6 and then add 12. The answer is 168. What is my number?

Answer key

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

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