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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 282 · 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. 1.4 × ? + 25 = 33
  2. 2.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 8 and then add 21. The answer is 205. What is my number?
  4. 4.9 × ? − 28 = 89
  5. 5.A pen costs ₹12 more than a pencil. 2 pens and 3 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  6. 6.2 × ? + 23 = 61
  7. 7.I think of a number, multiply it by 5 and then take away 39. The answer is 46. What is my number?
  8. 8.I think of a number, multiply it by 2 and then add 24. The answer is 52. What is my number?
  9. 9.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 3 and then add 40. The answer is 67. What is my number?
  11. 11.2 × ? + 24 = 60
  12. 12.Farhan has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  13. 13.10 × ? − 15 = 95
  14. 14.A pen costs ₹6 more than a pencil. 4 pens and 8 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 9(x + 4) = 5x + 116. What is x?
  16. 16.The length of a rectangle is 15 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  17. 17.Solve for x: 7(x + 5) = 2x + 105. What is x?
  18. 18.I think of a number, multiply it by 5 and then add 23. The answer is 98. What is my number?
  19. 19.3 × ? + 18 = 30
  20. 20.A pen costs ₹11 more than a pencil. 2 pens and 5 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  21. 21.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 7(x + 1) = 3x + 51. What is x?
  23. 23.I think of a number, multiply it by 2 and then add 16. The answer is 42. What is my number?
  24. 24.Solve for x: 7(x + 2) = 4x + 65. What is x?
  25. 25.The length of a rectangle is 11 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 6 and then take away 10. The answer is 32. What is my number?
  27. 27.8 × ? − 30 = 34
  28. 28.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 9 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  30. 30.Priya has 24 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  31. 31.Diya has 30 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 6(x + 6) = x + 61. What is x?
  33. 33.4 × ? − 5 = 3
  34. 34.Solve for x: 5(x + 8) = 3x + 68. What is x?
  35. 35.7 × ? − 28 = 35
  36. 36.A pen costs ₹14 more than a pencil. 6 pens and 2 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 8 and then add 38. The answer is 254. What is my number?
  38. 38.A pen costs ₹11 more than a pencil. 3 pens and 6 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 2 and then add 39. The answer is 43. What is my number?
  40. 40.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?

Answer key

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

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