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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 935 · 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.Solve for x: 6(x + 8) = 5x + 54. What is x?
  2. 2.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  3. 3.7 × ? + 7 = 49
  4. 4.Solve for x: 4(x + 4) = 2x + 46. What is x?
  5. 5.I think of a number, multiply it by 3 and then add 29. The answer is 107. What is my number?
  6. 6.Manav has 20 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 4 and then add 10. The answer is 22. What is my number?
  8. 8.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  11. 11.3 × ? + 28 = 52
  12. 12.I think of a number, multiply it by 3 and then take away 9. The answer is 48. What is my number?
  13. 13.5 × ? + 24 = 134
  14. 14.A pen costs ₹9 more than a pencil. 6 pens and 2 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 3(x + 6) = 2x + 21. What is x?
  16. 16.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  17. 17.Saanvi has 29 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  19. 19.6 × ? + 24 = 102
  20. 20.Solve for x: 9(x + 3) = 4x + 102. What is x?
  21. 21.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  22. 22.Rohan has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 4 and then take away 26. The answer is 2. What is my number?
  24. 24.11 × ? + 1 = 221
  25. 25.9 × ? − 16 = 29
  26. 26.I think of a number, multiply it by 6 and then add 39. The answer is 93. What is my number?
  27. 27.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹9 more than a pencil. 4 pens and 2 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 8(x + 9) = 4x + 148. What is x?
  30. 30.I think of a number, multiply it by 3 and then take away 10. The answer is 41. What is my number?
  31. 31.I think of a number, multiply it by 3 and then add 12. The answer is 57. What is my number?
  32. 32.I think of a number, multiply it by 7 and then take away 6. The answer is 8. What is my number?
  33. 33.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 3 and then add 9. The answer is 72. What is my number?
  35. 35.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  36. 36.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  37. 37.Pooja has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  39. 39.5 × ? − 13 = 27
  40. 40.Meera has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?

Answer key

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

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