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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 821 · 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.Pooja has 22 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  3. 3.2 × ? − 10 = 6
  4. 4.11 × ? − 29 = 48
  5. 5.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 11 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  8. 8.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 8 and then add 14. The answer is 46. What is my number?
  10. 10.4 × ? − 6 = 94
  11. 11.A pen costs ₹10 more than a pencil. 3 pens and 8 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 10 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  13. 13.A pen costs ₹3 more than a pencil. 3 pens and 6 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 2 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  15. 15.Solve for x: 4(x + 5) = 3x + 31. What is x?
  16. 16.9 × ? + 22 = 58
  17. 17.The length of a rectangle is 6 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  18. 18.Kavya has 24 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹4 more than a pencil. 3 pens and 8 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹12 more than a pencil. 3 pens and 4 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 7(x + 8) = 4x + 59. What is x?
  22. 22.Solve for x: 6(x + 6) = x + 116. What is x?
  23. 23.11 × ? + 12 = 45
  24. 24.A pen costs ₹7 more than a pencil. 4 pens and 5 pencils cost ₹91 in all. What does one pencil cost (in ₹)?
  25. 25.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  26. 26.Ishaan has 24 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹11 more than a pencil. 5 pens and 5 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 7(x + 5) = 4x + 83. What is x?
  29. 29.Pooja has 23 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 9(x + 3) = x + 179. What is x?
  31. 31.I think of a number, multiply it by 6 and then take away 18. The answer is 72. What is my number?
  32. 32.I think of a number, multiply it by 9 and then add 33. The answer is 285. What is my number?
  33. 33.I think of a number, multiply it by 2 and then add 3. The answer is 43. What is my number?
  34. 34.A pen costs ₹11 more than a pencil. 4 pens and 2 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  36. 36.5 × ? − 24 = 21
  37. 37.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 3 and then add 33. The answer is 75. What is my number?
  39. 39.Farhan has 27 coins, all ₹5 and ₹2 coins, worth ₹129 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 7 and then add 10. The answer is 31. What is my number?

Answer key

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

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